Managing director Vinai Venkatesham and former head of football Raul Sanllehi announced on 5 August that Arsenal would be looking to make 55 redundancies as the financial damage suffered during the coronavirus pandemic came into effect.
The Press Association reports that the cuts came across all football departments as well as commercial and administrative roles.
The call to make such cuts was met with wide-ranging derision by supporters, with a change.org petition set up asking for the decision to be reversed.
Those who were upset by the news were only further agitated when the Gunners announced the signing of Willian on a big-money, three-year contract the following week.
Two more outlays are expected in the coming days as the club look set to announce a new and improved deal for captain Pierre-Emerick Aubameyang and the signing of Lille defender Gabriel Magalhaes for a fee in the region of £22m.
But Arteta, whose side face Liverpool in the Community Shield on Saturday having won a record 14th FA Cup on August 1, defended the club's decision.
"I understand," he replied when asked if he saw why such criticisms were being aimed at Arsenal.
"If you are only looking at the financial point of view you can get some contradictory messages.
"But what is very clear is that the club had a very thorough plan of how they needed to restructure in order to function better and be more stable for the future.
"They were very convincing with every argument they gave to all of us that it was the right thing to do."
Earlier on in the year, the majority of Arsenal's players agreed to a 12.5 per cent pay cut to help keep other staff at the club from being furloughed or sacked.
That figure dropped to 7.5 per cent following their FA Cup final win and subsequent Europa League qualification.
A number of those players were reportedly unhappy, therefore, with the decision to then make cuts - with PA understanding a some of the first-team squad soon got in contact with staff members who were at risk.
Mesut Ozil recently explained he did not take a pay cut because he thought the decision was "rushed" and questions and concerns went unanswered.
Arteta said the wage cuts were the "right thing" for the club but said agreeing to them did not then give the players a voice in later decisions.
"Obviously it's really sad and it was during the Covid period that we had to make the decision to get our players to contribute to the pay cuts," he said.
"One of the reasons was to maintain some of them. We have been trying to do the right thing and the club is trying to protect the future as much as possible.
"The players were happy to contribute and help the club in this difficult financial position.
"That doesn't mean that afterwards you are going to have a say in every decision made by the club. It can't work like that.
"At the end of the day it wasn't an obligation, it was a choice whether you wanted to do it or not."
The club confirmed on Friday the appointment of assistant coaches Carlos Cuesta, Andreas Georgson and Miguel Molina, following the departures of Freddie Ljungberg and Sal Bibbo, while Jordan Reece replaces Liverpool-bound physio Chris Morgan.
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