There's one important additional consideration. This damage is in a kitchen. Is it to a wire at floor level, or a decent height above? Because a kitchen is quite likely to suffer a flood, say, if the washing machine or dishwasher outlet becomes blocked. At which point a cable at floor level will be sitting in hot soapy water, and one of several things will happen.
At best, the circuit is protected by its own RCBO and trips, and you only discover later when all the food in the freezer has thawed and been ruined.
Less good, the house's one and only RCD trips, and the house in plunged into darkness, and possibly somebody falls down the stairs or slips on the flooded kitchen floor as a result.
Worst, there is no RCD at all, and someone is electrocuted. Soapy water is a good conductor of electricity and kitchens are full of earthed metal things that you touch.
So although tape might be acceptable for wiring that's permanently a foot above floor level, it definitely is not acceptable down on the floor. Whatever you do, get somebody who knows electricity to check and fix it (not the electrically unqualified plumber who broke it in the first place).
I don't know your locale, but here in the UK it would be an open and shut case against the plumber in the small claims court, if you get it repaired by a qualified electrician who documents the damage on his quotation before repairing it. (Also, take photos). The main risk is that the plumber has gone bankrupt before you win your case. If he's not planning on going bankrupt or "doing a runner", he'll probably settle as soon as he sees the electrician's invoice, to avoid also being on the hook for court fees.