Is genitofemoral nerve a peripherel nerve?ive read that peripherel nerves have striking capacity to regenerate.though it takes time to heal true?

Yes, it is: Yes, the genitiofemoral nerve is a peripheral nerve. Peripheral nerves, if not damaged so severely that the nerve cell body dies, then will repair and regenerate itself at a rate of 0.5 mm per day.

Yes: Ability to repair depends upon how much of the damage is just to the insulation of the nerve, vs. The "wire." a totally severed nerve generally cannot repair.