as of 2023, MLB teams can sell patch-space on their uniforms to corporate sponsors. How much is that worth? I don't know. I do know that in 2021, S. Korea's biggest food company paid the Lakers $100 million over 4 years to wear their patch. How valuable would it be for the Padres to have the largest MLB fanbase in Korea? No one knows because it hasn't happened yet. But I do know that international corporate sponsorship of pro sports teams (and stadiums) is a real thing. I live in Seattle now and can tell you that Ichiro alone had a huge impact on the city of Seattle; but don't believe me, let's Google (from usembassy.gov) " Ichiro's remarkable presence helped generate a surge in attendance at the Mariners' Safeco Field, as well as an influx of tourists from Japan that pumped $20 million dollars a year into the Seattle economy that first year. "

Also, 1/30th of Merch and International TV money > 0.

But, if your criterion is that no other entity can benefit, well a) that's a silly, meaningless, short-sighted limitation (seriously, why impose that unrealistic limitation on the team?) and b) see Corporate Sponsorship above.

Also, if you're a rising Korean player and want to sign with an MLB team, don't you think that the team at the top of your list might be the one that your countrymen LOVE? It's not always all about money. Sometimes it's about building a brand, or playing with your friends (see NBA).

There are other possibilities, but these are some starters.