Preheat the oven to 450°F and lightly oil a sheet pan.
Place the salmon strips or chunks on the prepared sheet pan, sprinkle with the Cajun seasoning, drizzle with olive oil or melted butter, and toss gently to coat.
Bake the salmon for 10–15 minutes, until the top is crisp and the salmon is cooked through; remove from the oven and set aside.
Meanwhile, toss the torn ciabatta, grated garlic, a pinch of salt, and slices of the butter on a second sheet pan (or same pan if space allows) and bake for 10–12 minutes until golden and toasted.
If desired, pulse the toasted ciabatta in a food processor (or chop finely) to make breadcrumbs; set aside.
Make the dressing by whisking together the extra virgin olive oil, toasted sesame oil, tahini, lemon juice, Dijon mustard, Worcestershire sauce, grated garlic, and 1/2 cup grated Parmesan until smooth; add 1/4–1/2 cup water to reach your preferred thinning and season to taste.
In a large bowl, combine the mixed greens, mixed fresh herbs, remaining Parmesan, and toasted sesame seeds.
Toss the greens with enough dressing to coat, then add the breadcrumbs, avocado, and warm blackened salmon; gently toss once to combine and serve immediately.