Ayew is currently Palace's top goalscorer with eight goals in 28 league games and has earned rave reviews for his fine performances.
It is the 28-year-old's second-highest career league goals tally and his best since netting 12 times for French side Lorient in 2014-15.
"I know what Jordan can do," Lamptey, who played for Villa in 1994-95, told Starr FM.
"If he gets the opportunity to join any of the top-notch teams in the English Premier League, I bet you the whole world will see the quality he is made of.
"I know him when he was very young and even at that age when he plays, you could see the greatness in him.
"It’s just a matter of time because the best is even yet to come from him."
The Ghanaian joined Crystal Palace from Swansea City on a permanent deal last summer following an initial loan stint.
He has previously played for Olympique Marseille, Sochaux, Lorient, and Aston Villa.