The rest of the world requires the STCW endorsement. You may have that. If you do, then you're fine. If yours says 3000 ton international, then likely you do.
No, any Master's license does not translate. Any country's National licenses that are consistent with the STCW requirements then qualify. However, US National Licenses are not all consistent.
This was a big issue at the time of change as a lot of Captains with 200 and 500 Ton licenses suddenly found themselves needing additional courses to upgrade and get the endorsement. The licenses the OP is talking about are National licenses. This change took place about two years ago. There were a lot of scrambling captains.
I also believe 3000 International Captains were grandfathered but not sure of all the details. I know across the board for captains and engineers we spent a lot of money on upgrades.
Here's a guide that is about as clear as mud.
https://www.mptusa.com/pdf/STCW_guide_english.pdf