Questions & Answers about Извините, можно войти?
Yes. Извините is the polite/plural imperative form of извинить (извините! = “Excuse me / Sorry”).
- Извини = informal (to one person you’re on ты terms with)
- Извините = formal (to one person on вы terms) or to multiple people
In this situation it’s best understood as “Excuse me”—a polite attention-getter before asking permission. It can also function as “Sorry,” but in Извините, можно войти? it’s typically “Excuse me…”
Можно means “it is allowed / it’s possible (by permission)”, so it’s the natural word for asking permission.
Могу войти? means “Am I able to come in?” (ability/capacity), and can sound less clearly like a permission request. In many contexts people still understand it as permission, but Можно войти? is the standard polite formula.