Is it just Fire type moves?
A frozen Pokémon can still use the moves Flame Wheel, Sacred Fire, Flare Blitz, Fusion Flare, and Scald while frozen; these moves will thaw the user, thaw the opponent if possible, and deal damage to the opponent. Ice-type Pokémon and those with the Magma Armor Ability are completely immune to being frozen by Ice-type moves; however, Ice-type Pokémon can be frozen by Tri Attack and Secret Power.
Source
aromatheropy and heal bell heal all of the status problems of the party Pokemon.
another Pokemon on your team will have to use these moves. So you will have to switch if you want to be thawed.