Heat oven 350ºF (177ºC). On a large baking sheet, toss bread with oil to coat; season with ½ teaspoon kosher salt and ½ teaspoon pepper. Spread into an even layer.
Toast bread until deeply golden brown, crispy, and slightly chewy, 15–20 minutes, tossing occasionally. Let croutons cool completely.
Meanwhile, prepare From-Scratch Caesar Dressing or Shortcut Caesar Dressing according to recipe instructions. Refrigerate until ready to use. Turn oven to HI broil with rack set 6-inches from element.
Arrange salmon fillet skin-side down on prepared sheet; pat dry and season with ½ teaspoon salt and ¼ teaspoon black pepper.
Broil salmon until mostly opaque but center still looks undercooked, tops are charred, and an instant-read thermometer inserted in the center registers 120–125ºF (48–52ºC); 10–12 minutes.
In a large bowl, toss salad with a heavy drizzle of Caesar dressing; season lightly with salt and pepper.
Flake salmon into large chunks then arrange over salad; discard skin. Sprinkle croutons over top and serve immediately with more dressing on the side.