Lewis Brunt, Paul Mullin and Mo Faal all scored as the Welsh side made it two wins from their first two matches to go top of their group.
Wrexham did not take long to get on top of their visitors but Phil Parkinson's men created few big chances. Still, it seemed only a matter of time before the hosts got a breakthrough and it came in the 22nd minute when Anthony Forde's fantastic cross from a free kick was met by Brunt for a simple finish from close range.
The Red Dragons grew in confidence from there and looked a bit more sharp as they cut through Wolves to get the ball in dangerous areas, but the final touch was missing until Forde's perfect lob from inside his half sent Mullin in behind the defence and he lifted it over the goalkeeper to make it 2-0 after 38 minutes.
Summer signing Faal got his second Wrexham goal in spectacular style when a mix-up in the Wolves defence saw it come down to the 21-year-old in front of goal and his overhead kick gave the Welsh side a three-goal cushion.
Despite their comfortable lead, Wrexham seemed to up the intensity later in the second half and kept plugging away at Wolves. In the end, they had nine attempts on target against the younger side and could have won by a much bigger margin.