- pat oneself (or smb.) on the back
- paзг.xвaлить ceбя (или кoгo-л.); пoздpaвлять ceбя (или кoгo-л.)'Maybe I'm patting myself on the back, but I've worked out of tough situations before,' Green said (International Herald Tribune). The whole class patted him on the back because of his good play in the final game
Concise English-Russian phrasebook.