Despite having received some criticism for his performances in previous games this season, Abraham appeared full of confidence against Norwich and Cole is predicting a bright future for the 21-year-old.
Speaking on BT Sport, Cole said: "Tammy's got all the attributes to be a Chelsea centre forward in the long run because of his pace, strength and hold up play. He just needs to keep improving because he's a young man and there's no reason why he can't become Chelsea's no 9 for many, many years.
"He keeps defenders honest. With Giroud they can maybe play a high line and Tammy can learn from Giroud."