The 27-year-old Arsenal forward has not travelled for his national side’s World Cup qualifier against Colombia on Thursday having sustained the problem in training.
However, Sanchez, who was originally thought to have sustained a minor thigh injury, could yet feature against Uruguay next Tuesday.
Wenger is concerned that Chile may risk exacerbating the hamstring problem by playing Sanchez through the pain barrier, and is now keen for his player to be assessed by Arsenal’s medical team as soon as possible.
“I got a text last night (to say) that he has a hamstring injury,” he told beIN Sports. “The team from Chile has travelled without him and they kept him to try and get him fit to play Uruguay for the second game on Tuesday night.
“I believe that with a hamstring injury. We have to get access for our medical staff to the MRI scan to see what grade it is, how bad it is and make absolutely sure they don’t make any suicidal decision that could harm his future for two or three months.
Arsenal vs Tottenham player ratings
Arsenal vs Tottenham player ratings
1/22 Petr Cech - 7
Sent the wrong way for Kane’s penalty but responded well minutes later to deny Eriksen down to his right. Arsenal continue to benefit from having such an experienced head between the sticks.
2/22 Hector Bellerín - 7
Bellerin was a decent threat going forward and his defensive game seems to be improving with every game. Superb tackle to deny Son after the break shows how well he is coming along in that area.
3/22 Shkodran Mustafi - 7
It looked like he might have been in for a tough afternoon after losing the lively Son on a couple of occasions early on but grew in confidence as the game wore on. Drew on his experience to keep his head during his first derby.
4/22 Laurent Koscielny - 6
Superb first half for the Gunner but silly challenge on Dembele was a costly one for his side. Kept Kane relatively quiet on his return and but marked down for penalty error.
5/22 Nacho Monreal - 7
The Spaniard has made a precarious start to the season but his form may be turning by the looks of this afternoon’s display. Keen to get forward at every opportunity and provided a solid presence for the Gunners on the left flank.
6/22 Francis Coquelin - 7
Arguably his best performance of the season. The North London derby seems to bring the best out of the Frenchman and, after getting to grips with Spurs’ new system, he was everywhere for the Gunners.
7/22 Granit Xhaka - 7
Seemed as though he may have been a liability for the Gunners taking into account his red card record but put in a composed display alongside Coquelin. Did the simple things well and provided a steady platform for Ozil, Sanchez and co to roam forward.
8/22 Theo Walcott - 7
Is the winger finally coming of age? After another decent display this afternoon it seems that might be the case. Threatened to double Arsenal’s lead with a wonderful strike just before half-time and was always a threat down the right.
9/22 Mesut Özil - 6
A pretty quiet day by his standards but the German is always a clever operator. Ozil spurned a good chance in the first half but his slick movement meant he was a threat to the Tottenham back three throughout.
10/22 Alex Iwobi - 5
Not the winger’s best day at the office but this fixture can be a difficult fixture for a young player. Wasted a great chance for the Gunners before half time and failed to utilise his power against Walker.
11/22 Alexis Sánchez - 7
Sanchez was a constant menace to the Spurs defence all afternoon and did everything but find the back of the net. The Chile international is proving to be an impressive foil for Arsenal’s other attacking players to get forward too.
12/22 Hugo Lloris - 7
Couldn’t do anything to stop Wimmer’s own goal and was reliable as ever for his side during a difficult period in the first half.
13/22 Kyle Walker - 7
Took to his wing back role like a duck to water and provided his side with great width on the right wing. Got the better of Iwobi in defence too.
14/22 Jan Vertonghen - 7
Made a very assured display and kept his concentration against a very tricky Arsenal frontline. Commanding presence in Alderweireld’s absence.
15/22 Kevin Wimmer - 5
A day to forget for the young defender. Poor own goal and looked vulnerable as Arsenal piled the pressure on afterwards. Recovered well in the second half though.
16/22 Danny Rose - 7
Slightly more defensive minded than Walker but still excelled in wing back position. Quickly becoming one of the best left backs in the league.
17/22 Eric Dier - 7
Another strong showing of Dier’s versatility after fitting into Pochettino’s back three seamlessly. Reads the game impeccably.
18/22 Son Heung-min - 6
Provided a lively presence alongside Kane up front with his darting runs in and around the striker. Denied a goal through Bellerin’s last minute challenge in the second half.
19/22 Victor Wanyama - 7
Continues to show what a clever acquisition he was this summer. Strong in the tackle and equally as composed on the ball against a top Arsenal midfield.
20/22 Moussa Dembélé - 8
Did exceptionally well to draw in Koscielny challenge to win the penalty with one of his typical mazy runs. Combined well with Wanyama in midfield.
21/22 Christian Eriksen - 7
Came close twice in the second half with well struck volley and free-kick off the post. Such a vital player for Spurs this season.
22/22 Harry Kane - 6
Did what Harry Kane does best. Score goals. Another important strike on his return and he showed just what Spurs have missed. A genuine goal scorer in the box.
“That is absolutely important. It’s a grey area between the national team and the club team and of course they look at their own results which I can understand but we have to preserve the health of Alexis Sanchez.
“He always wants to play and that’s where it is a more sensitive case because he’s always ready to play even when injured.”
Sanchez missed two months of Arsenal's 2015/16 season after aggravating a hamstring problem in a 1-1 draw at Norwich City in late November.
Wenger shouldered the responsibility for risking Sanchez that day and is keen to make sure that the forward's national team do not make the same mistake.
At the age of just 27, Sanchez has already amassed 101 caps for his country. Prior to Thursday's qualifier against Colombia, the former Barcelona player had not missed a Chile match since March 2013 and has played in an international tournament every summer for the last three years.Reuse content