Do not insist on making telephone follow-up after you have submitted your application, or have been through an interview.
This is more so if the recruiting organization specifically stated you shouldn't.
You could be taken to be poor in following instructions and it could ruin your chances.
But if there is no mention of telephone follow-ups, then there should be no harm in doing so, as long as you do it professionally.
Do not try to coax the person on the other end into giving you information they have indicated they will not share out yet.
Don’t be too selfish
Focus on the needs of the company you are seeking employment in, rather than your own.
The potential employer will not be impressed if what you talk about in your job request is mainly your expectations, qualifications and expertise.