1. Is a general contractor or framing contractor can hire an electrician (who is not licensed contractor) on pay roll to do electrical side of residential project?
Depends on how the licensure laws are worded in your AHJ / county / state. See your 2nd question:
2. When general contractor applies for job permit does he has to give electrical contractor name to permit issuing authority?
Once again, depends on the laws that govern general contractors. If the GC is the one pulling the permit, then no, AFAIK. If the EC is listed as a separate entity, then yes, but then the EC would have to pull his own permit for all electrical work on site.