Trossard, 31, has been a valuable player for Mikel Arteta and played an important role in the club's Premier League triumph last season.
The Belgium international started 21 of his 31 Premier League games, scoring six goals and providing six assists.
According to CaughtOffside, Turkish side Besiktas are in ‘advanced talks’ over a potential move for the winger.
It’s understood Besiktas are preparing to enter club-to-club talks with the Premier League champions and make an offer of €20 million (£17m).