The striker joined The Eagles on a season-long loan on transfer deadline day, about 24 hours to the start of the new Premier League season on August 10.
He is, however, still chasing his foremost outing for Roy Hodgson's outfit, having completely failed to make the matchday squad for the league opener at Fulham and only watching Monday's matchday two clash with Liverpool from the bench.
“I’ve been more than happy with our first two performances [of the players] against Fulham and Liverpool," Hodgson said on Friday.
"I think the team that I chose played well. But [new signings] Max [Meyer], [Cheikhou] Kouyate and Jordan Ayew have all been very, very impressive in training.
"They can feel themselves a little bit unlucky that the ones that I’ve chosen have played well enough to keep them out of the team.
"But I wouldn’t hesitate to put any of those into the team, and the same applied to Vicente Guaita.”
Ayew will be hoping to get his breakthrough in Sunday's league fixture at Watford.
Last season, the 26-year-old made 36 topflight appearances, involving 33 starts, and scored seven times for Swansea.
His exploits, which left him as the club's top scorer, though, could not save the Jack Army from relegation.