I also find "with" strange.
Student or Learner
I wrote to University of London recently and am quite surprised at their choice of preposition after the noun enquiry.
Intuitively, I thought I would use ... an enquiry to the Department...
May I then ask whether 'with' or 'to' is more appropriate and whether both are used. Thank you very much
Thank you for making an enquiry with the Department of XXXXXX, University of London.
I honestly can't say what preposition I would use after "to make an enquiry". None of them sound very natural before "a university". I can come up with one for just one context at the moment:
I made an enquiry at the reception desk of the hotel.
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.