For an alarm clock the button that allows you to do this is called the "snooze button", but you cannot say you are "snoozing" to describe this action in English (it does describe the action of sleeping for a short period of time, but it does not precisely describe sleeping just a few minutes more.)
There is a common phrase you could use, however: "catch a few more winks". It is a casual or slang expression, however (though never offensive). It definitely means that you have been sleeping, and now are going to sleep for an additional short period of time.