It might not be a problem right now, and it could be one of the best "problems" in baseball to have, but one day soon Gary Sanchez will run out of room in the Yankees organization and become a trade target. Right now he's a 22-year-old starting catcher who just reached Triple-A, but you can only store him there for so long until his value is gone. With Brian McCann and John Ryan Murphy entrenched at the big league level, it will eventually be concluded that Sanchez can help the big league team the best by becoming trade bait. It might not happen at the deadline this year, or even this coming offseason, where it could make more sense to move a longterm piece like Sanchez, but a deal is coming some day and it's important to see who might be in the market today, tomorrow, and beyond.
The top three candidates for acquiring Sanchez in the coming years have to be the Atlanta Braves, Seattle Mariners, and Chicago White Sox with a few other teams likely to be interested. The Braves have been vocal about their desire to acquire a young catcher, making Atlanta the best landing spot for Sanchez. They have plenty of young pitching depth that they could trade from, including Matt Wisler, Manny Banuelos at the major league level and Lucas Sims, Max Fried, and Touki Toussaint in the minors. While they have Christian Bethancourt, the organization must not be too confident in his abilities to trust him going forward. Their best catching prospect, Tanner Murphy, is also a few years away. That fact could get the Braves to take a chance on Sanchez's rougher edges as they wait for Murphy to mature.
It's hilarious to think that the Seattle Mariners might be open to trading for another Yankees catcher. The last time that happened it didn't end so well for them, however, their current option, Mike Zunino, has been one of the worst catchers in baseball. Their catching prospects include John Hicks, who has a .673 OPS in the Pacific Coast League, and their no. 8 prospect Tyler Marlette still needs a lot of work with the glove. Meanwhile, Seattle has pitchers like Taijuan Walker and James Paxton, who would make excellent returns on a position the Yankees currently have covered. After the Jesus Montero debacle, though, it might be a long shot to see these two teams pair up again in what would basically be the same deal.
The White Sox have been without a real offensive backstop for awhile now as Tyler Flowers has done a decent job holding down the fort, but the team's disappointing 2015 proves that they might need more offense for the future. Their catching prospect in Triple-A, Kevan Smith, profiles more as a backup catcher due to his problems behind the plate. Their no. 24 prospect and top catching prospect is the 19-year-old Jhoandro Alfaro in rookie ball. They could easily use an offensive upgrade behind the plate in the form of Sanchez and an open DH spot will allow them the flexibility to keep Flowers around. Unfortunately for the Yankees, Chicago doesn't have a whole lot it could offer them in return, making a deal a little less likely.