Yes it was mentioned by Chris Getz that the Sox have a seat at the table to pitch Sasaki, then someone afterwards took it a step further.
But let's take a step back and look at this objectively.
1. The Sox history in Japan is dormant for an entire generation. We have no scouts there, and no real history of success in the far East compared to their peers.
2. The Sox international pool is in the smaller end of the pools. While the Sox may well have a large amount of money left over because they are one of the worst spending team internationally, but there already talks of teams revoking signings to be able to offer Sasaki more money than the Sox ever could.
3. 121 losses.
4. The Sox are very probably to be into Sasakis arbitration years before they hit .500 again. Even if Chris Getz somehow turns the Titanic around, we are probably now into his last year or two of control when this could be a legitimate playoff operation again. That means choosing between risking losing him for nothing or trading him to a place he didn't choose to be in. Sasaki is smart enough to know this timeline.
5. Chicago is in the middle of the country and doesn't have a particularly big Japanese population, especially when compared to all of the West Coast. Even when Iguchi was here, there really was no surge of fan base from the community.
6. The West Coast cities are 3-5 hours closer to Japan.
7. Because Sasaki has to go through the six years of control, his primary source of income will be endorsements. Between the horrible ratings the Sox have, their complete lack of significant carriage agreements on cable, and the size of the Japanese community as a proportion of the metro population, he would be looking at significantly more money in a lot of other markets.
8. Many of the other teams will be in the playoffs this year. Others are going to be in the playoff race. A 1st round playoff share would be a huge bump for a guy making league minimum. A World Series championship would about double his salary.
9. Besides a potential playoff share, a playoff appearance also means more national exposure, further opening up more endorsement chances. That's not happening in Chicago.
10. The Sox have a league wide reputation on a lack of resources for players. Despite the noise about that changes, would someone be willing to bet their formative years and the chance at a powerball sized contract on it when you KNOW other teams already have done it.
11. The Sox have a brand new manager, GM, scouts, analytics crew and pretty much every thing else, except a couple of positions.
12. Between the Sox stadium fight, and rumors of ownership changes happening, and an owner pushing 90, the team that is selling Sasaki probably won't be the one who will be around to talk about his first big contract. Even if the are, the Sox have never paid anyone more than $75 million. Do you want to sign somewhere that almost certainly not offer you a mega contact when free agency approaches, or be hoping for a new ownership group who might? Why wouldn't you just go to someone who you know will be willing to pay you when time?
I am probably forgetting some things, but this is a good start.