Top NBA Prospect Cole Anthony Down To Help Rebuild Knicks, 'It'd Be Cool!'

Top NBA draft prospect Cole Anthony ain't running from the dumpster fire that is the Knicks ... in fact, the former UNC star says he'd embrace being selected by NY!!!

"I mean, look," the projected 1st-round pick tells TMZ Sports, "hey, it would be cool!"

Of course, the Knicks are kind of in Anthony's genes ... his father, Greg Anthony, was drafted by NY back in 1991 and played with the team for the first 4 seasons of his lengthy NBA career.

But, the Knicks have devolved into a complete mess since Papa Anthony roamed Madison Square Garden ... and it's gotten so bad, a ton of free agents have passed on signing there the past couple years.

Cole, though, tells us he'd be fired up if the Knicks took him in October's draft ... adding he's going to give "everything I can" to any team that's willing to take a shot on him.

It'd make sense for the Knicks ... Cole was a MONSTER at UNC despite injuries last season -- he averaged 18.5 points, 5.7 rebounds and 4.0 assists in 22 games for the Tar Heels.

By the way, Anthony -- who was out at Cove Lounge in NYC for an event to give back to children over the weekend -- also told us his old UNC teammates are fighting like hell to make sure there's a college basketball season this year.