The Red Devils secured Cavani on a free transfer on deadline day in the summer.
He left Paris Saint-Germain on the expiry of his contract.
Cavani scored twice and provided an assist as United beat Southampton 3-2 after being 0-2 down at half time.
"Listen, he's world class," Ince told Premier League Productions.
"He's not one of those that's going to run channels or work the centre-halves but what he does is if you put the balls in the right position, he will score you goals.
"He's probably what Man United need, a proper centre-forward. Martial is not a centre-forward.
"He can play along the lines but he's not an out-and-out centre-forward.
"They tried it with [Odion] Ighalo, it didn't really work. This kid is world class.
"He knows the areas to go into, he can sense goals, he sniffs out goals and I think he will score a lot more goals for United this year."