Rip your bread into small pieces, run through a mini food processor just until it forms bread crumbs.
Transfer crumbs to a medium bowl, along with the dill, garlic powder, ground pepper, remaining lemon zest, and salt. Set aside.
Use a sharp knife to cut salmon into chunks – about 1″ or so – and blitz the chopped salmon a couple times in the bowl of a food processor. You want there to be some small chunks, not just a super smooth mush.
Add to mixing bowl, along with remaining ingredients. Mix gently until thoroughly combined.
Divide salmon mixture into 2 equal parts, shape into equal-sized patties. I like to do this on parchment paper, for easy clean up. If they’ll be cooked on an outdoor grill, that parchment paper is on a baking sheet, for easy transportation outside.
Cook salmon patties over a hot grill for a few minutes, until they look to be cooked halfway up.
Gently flip each salmon patty – I like to use 2 large spatulas – and cook for a few more minutes, until cooked all the way through and lightly browned.
Salmon burgers are done when they reach an internal temperature of 145 degrees F on an instant-read thermometer. For best results, don’t overcook them!