+0
Are these sentences grammatically correct and natural enough? I didn't get it whether or not "inversion" is used in the bold parts. Please explain it.

1) If you're still interested, do you fancy getting in touch with our main office to fix up an appointment with the assistant manager.


2) If you're still interested, would you like to contact our main office to arrange an appointment with the assistant manager.
+0
Hasibrahman1) If you're still interested, do you fancy getting in touch with our main office to fix up an appointment with the assistant manager?
2) If you're still interested, would you like to contact our main office to arrange an appointment with the assistant manager?

These need question marks as shown. "do you" and "would you" are question-forming inversions. With the punctuation fixed, these sentences are possible, but if this is a written business communication requiring some degree of formality then "do you fancy" is unsuitable, and the overall structure seems unnecessarily "fluffy" to me. I would instead recommend:

If you are still interested, please contact our main office to arrange an appointment with the assistant manager.