thumbs up

give sb/sth the thumbs up (to show that you like or approve of something or that you are happy for something to happen) — одобрить, поддержать; похвалить

Example 1: We all gave Mary's cake the thumbs up. (CIDI)

Example 2: A new injectable treatment has been given the thumbs up by the authority. (CIDI)

see also
[дать добро]