You can solder the piece of board to the pot and then any wires would go to the next hole along on the strip, the copper stip will form an electrical connection between the two.
You could also bend the lugs on the pot to 90 degrees and then put a small hook or loop at the end of the wire and solder it direct to the lug. If you need to jumper between adjacent lugs then an offcut leg from a resistor or capacitor works a treat.