The Yankees’ chances of hosting and winning a potential wild-card game just improved.

In the span of two days, the Oakland A’s have placed starting pitchers Sean Manaea and Brett Anderson on the disabled list, with manager Bob Melvin acknowledging Tuesday that Manaea, their ace, could miss the rest of the season with rotator cuff tendinitis.

The Yankees (84-48) lead the A’s (80-53) by 4 1/2 games for the top wild-card spot, with Seattle 5 1/2 games back of Oakland. The Yankees are 6 1/2 games back of Boston in the AL East.

“We’re hoping to get [Manaea] back at some point this season. Whether that happens or not, I’m not sure,” Melvin told reporters Tuesday.

Manaea (12-9) was in the midst of the best season of his three-year career, posting a 3.59 ERA in 27 starts this season, while leading the A’s in wins, quality starts (15), innings pitched (160 2/3) and strikeouts (108). He likely would have been Oakland’s choice for the wild-card showdown.

Anderson, 30, has repeatedly battled injuries throughout his career, but had performed well in 13 starts this season and held a 4.02 ERA.