Do you think you could pull a few strings for me?When someone asks you to pull a few strings for them or offers to pull a few strings for you it means that they either want you to talk to some of your friends in power or believe they could talk to some influential friends of theirs to get what either they or you want respectively.
If you are interested in that job at ABC Ltd, I know the Managing Director. Perhaps I could pull a few strings (for you) and get you an interview.
I might be able to pull a few strings for you. I'll let you know next week.