Applying for PhD admission with a master's thesis written in Spanish
Maybe I'm confused by wording, but I think it is incorrect to think in terms of programs 'accepting' a thesis.

There might be cases where a program cares about the gritty details of your thesis, and so the short answer is to specifically ask the department you are applying to.

In the US, I highly doubt any PhD program would ask for your thesis, review it, then make a acceptance decision based on this.  Publishing your thesis is optional, and there is no expectation that you have to in order to be accepted into a PhD (generalization).  Also, a MS is not a requirement for a PhD program in the US, and so there's no rule about accepting an applicant's thesis.

When I applied to PhD programs in the US, Scandinavia, and the Netherlands, no one asked to review my thesis, or discussed accepting my thesis.

What could be useful is to translate the thesis abstract.  Then, if someone asks for more details, you have something on hand to give them.