enter somebody's/your name
enter (one's) name
To submit one's own or someone else's name for consideration in a selection, such as a competition, application pool, election, etc. I'm thinking about entering my name for class president! Just so you know, I entered your name for a chance to win an all-expenses-paid trip to Florida! As has been widely predicted, the governor announced today that he was entering his name for the presidential election next year.