Same corporation that you have the judgment against? If so, that's maybe a good sign that they don't have a bunch of corporate nesting shenanigans that might prevent you from seizing the assets. As part of the execution, the constable can actually post the real property for "sheriff's sale," but that seems fairly uncommon except in real-estate transactions.
Also, want to record that judgment in Collin County and anywhere else you think they may have assets (Dallas, Denton, etc.).
Did they default on the judgment? If they did, despite the appeal period having lapsed, they could attempt to set aside the default on various grounds.
Contacting them and asking them to pay would be the super-courteous thing to do. But it's not really required.
The thing operating massively in your favor here is that the judgment likely exceeds their attorneys fees in any effort to avoid it, so they're better off just paying you. Doesn't mean they will, though.