Ayew leaves the Liberty Stadium despite ending the previous two seasons under Steve Cooper as Swansea's top scorer.
He was unable to produce the moment of magic Swansea City required as they were beaten by Brentford in the Championship play-off final.
The 31-year-old has scored 35 goals in 106 appearances since rejoining Swansea from West Ham for an initial £18m in January 2018.
Ayew originally joined Swansea on a free transfer from Marseille back in 2015 scoring 12 goals in 35 appearances in the Premier League, before joining West Ham for £20.5m a season later.
The forward has been linked with a return to Turkish giants Fenerbahce in the ongoing transfer market.
He has also been reported to be closing in on a move to re-unite with Marcelo Bielsa at Leeds United.
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???? once a Jack always a Jack ???? thank you ???????? forever grateful ?? pic.twitter.com/5fc8ZraabJ— André Ayew (@AyewAndre) June 17, 2021