CC Sabathia Rocks Bulky Shoulder Brace In NYC, Needed Surgery After ALCS

Here's proof CC Sabathia gave EVERYTHING he had to try to get the Yankees another World Series title ...

TMZ Sports got the former MLB ace out in NYC on Tuesday ... and he was sporting a bulky brace on his pitching arm.

When we spoke to sources close to the 39-year-old, they told us he needed surgery last week to clean up the mess he made in his left arm after pitching for the Yanks against Houston in the ALCS.

Tough dude, right?!

Of course, CC battled a TON of injuries in his last year in pinstripes ... the guy famously said he would have had knee surgery over the summer if the Yanks weren't in a championship hunt.

As for his future, a timeline for recovery doesn't matter much anymore ... Sabathia is done pitching for good -- and if you expect to see him around the diamond next year, don't count on it.

The guy told reporters Tuesday he has ZERO interest in managing or broadcasting ... and seems he wasn't kidding when he told us earlier this year he's looking to do a ton of fishing in retirement!