Cole is urging Martial to stay at Old Trafford long-term.
"I'm hoping he [Martial] is going to be there a long time," Cole told ESPN FC. "If you look at the talent that kid's got, it's absolutely frightening.
“He's got great feet, scores goals and creates goals."
He continued: "He's had his ups and downs with the manager already.
“But I think he just wants the arm around the shoulder - a bit of loving and you'll definitely get the best out of him."