This is a regular verb. It follows the conjugation pattern of the verb hablar.
PresentPresente
Mi padre cocina paella los domingos.
My father cooks paella on Sundays.
ImperfectPretérito imperfecto
Mi abuela cocinaba sopa cada invierno.
My grandmother used to cook soup every winter.
FutureFuturo
Esta noche cocinaré pasta para todos.
Tonight I will cook pasta for everyone.