Rooster dreams symbolize new beginnings and announcements. A crowing rooster predicts good news or a welcome event. A chicken laying eggs means efforts bearing fruit or increased income. Catching a fat chicken is a lucky dream of incoming wealth. A chicken running away warns of a missed opportunity.
Animals appearing in dreams — as in "Rooster / Chicken Dream" — often symbolize instinct or a suppressed impulse in Jung's theory of Archetypes. The specific animal and the emotion it evokes in you both shape the meaning far more than a generic dream dictionary entry can.
What was the first emotion you felt when you saw that animal in the dream?