Congressman James Comer said he would be calling on Criswell to appear before the House Oversight Committee hearing on 19 November.
Josh Hawley, senator for Missouri, also published a letter calling for those involved to be prosecuted if necessary.
Florida was hit by two major hurricanes in the last couple of months.
At least 24 people were killed during Milton, which left millions of homes and businesses without power.
Two weeks before Milton, Hurricane Helene made landfall, going on to become the deadliest mainland US storm since Katrina.
More than 200 people were killed, over half of those in North Carolina, where entire communities were devastated.
