If Zack Hample does what he does best, he'll end up with at least one of Albert Pujols or Aaron Judge's historic and record-breaking home run balls ... and he tells TMZ Sports they'll be in good hands -- 'cause they'd be going back to the rightful owner.

If you're unfamiliar with Hample, he's a foul ball and home run magnet at MLB games ... and has caught more than 12,000 in his lifetime -- including Alex Rodriguez's 3,000th hit and Mike Trout's first career home run.

Given Pujols' quest for 700 career home runs and Judge inching closer to Roger Maris' American League record of 61 dingers in a season ... we had to hit up Hample to see what his game plan is for the rest of the season.