"Liverpool made a bid for me before the World Cup but Bayern put their foot down and told me, 'We’re not going to sell you'," said Shaqiri.
"My contract runs until 2016 and I could possibly extend it. I will consider my decision during the winter break."
Shaqiri has failed to become a regular starter for the Bundesliga champions since signing from FC Basel in 2012.
He made only 17 league appearances for the club last season.
With the £75m sale of Luis Suarez to Barcelona, it was a busy period in the transfer market for Reds' manager Brendan Rodgers over the summer. He brought in nine additions, including Adam Lallana, Lazar Markovic and, of course, Mario Balotell.
Shaqiri is expected to feature for Switzerland tonight in their Euro 2016 qualifying match against England.
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