Former Sunderland star Gray believes that Ayew would be a good addition to the current squad.
The former England international has also praised Sunderland manager Sam Allardyce for the signings he has made in the January transfer window so far.
The Premier League strugglers have recruited defender Jan Kirchhoff from Bayern Munich and striker Dame N'Doye on loan from Trabzonspor.
Very happy with our new singings so far.. Ayew would be fantastic addition also.. Well done big Sam #Safc— michael gray (@mickygray33) January 15, 2016
Ayew joined Swansea on a free transfer in the summer of 2015 and has been one of the better performances for the Welsh outfit so far this season.
In 20 Premier League appearances for the Swans, the Ghana international has scored seven goals and created 16 chances.
Sunderland are third from bottom in the Premier League table at the moment with 18 points from 21 matches, just a point behind 17th-placed Swansea.