"this statement" = "As we all try to understand what this vote means to us, I want to affirm to anyone on our team that is scared or feels personally exposed, that I and everyone else here at Grubhub will fight for your dignity and your right to make a better life for yourself and your family here in the United States."

Basically, if you don't feel like you can be part of the "everyone here at Gruhub [who] will fight for your dignity and your right to make a better life... in the United States," you don't belong. Nothing about the act of supporting Trump, per se.