Sub/Amp wiring & ohms question

So my current setup is a Kicker ZX500.1 amp (500 rms @ 2 ohms and 250 rms @ 4 ohms) hooked up to a Kicker 12" L5 Solobaric 2 ohms. I had it installed as I'm a novice with car audio installation so I don't really know how it is all setup besides the fact that the amp and sub are at 2 ohms. I'm selling my Kicker because it is too big for trunk space and I'm getting a Pioneer shallow sub that runs 250 rms @ 4 ohms. Can I just plug the two existing wires that would go in my kicker sub into the new pioneer sub despite the ohms difference or does it all have to be rewired?

As long you maintain your positive and negative you will be fine doing that.

The gain will need to be turned up some to get the proper ac output at 4 ohm.

Ok great, sounds easy enough. Thanks for the input.