Yes! Anodized aluminum is perfectly safe to cook on.
Exposures to aluminum through food can occur when aluminum leaches or otherwise dissolves from the cookware into the food. Leaching is most likely when the foods being cooked or stored are highly basic (like baking soda) or highly acidic (like tomato sauce, lemon juice, oranges, or vinegar). For example, tomato sauce has been shown to contain 3-6 mg aluminum (per 100 g serving) after cooking in aluminum pans, which translates into about one-tenth of the typical daily intake. This leaching of aluminum with acidic foods does not happen with aluminum cookware that is anodized or electrochemically processed to seal the aluminum in the cookware. Clemson University Extension’s Home and Garden Information Center tested different cookware types and found anodized aluminum cookware to be safe.