pull a rabbit out of the hat
US /pʊl ə ˈræbɪt aʊt əv ðə hæt/
UK /pʊl ə ˈræbɪt aʊt əv ðə hæt/

1.
to do something unexpected and surprising that solves a problem
:
•
The team was losing, but the coach managed to pull a rabbit out of the hat with a last-minute strategy change.
•
We need someone to pull a rabbit out of the hat to save this failing project.