This is an irregular verb. It follows the conjugation pattern of the verb parecer.
PresentPresente
Me apetece salir a caminar.
I feel like going for a walk.
PreteritePretérito indefinido
Ayer no nos apeteció comer nada.
We didn’t feel like eating anything yesterday.
ConditionalCondicional
¿Te apetecería un café ahora?
Would you feel like a coffee now?