The Clarets won 2-1 on Tuesday night thanks to goals from Aaron Ramsey and Oliver Sonne.
Afterwards, a happy Parker said: “Overall, I'm pleased. Pleased with us coming out and winning the game and getting through to the next round.
“It was a good opportunity for a lot of the players to get some more minutes in their legs, for sure. It’s still really early stages of the season, two games in really in terms of the league and a lot of these boys for different reasons, some making a debut tonight, some coming back from injury, and some boys who have probably not had a lot of minutes since pre-season, really. So, it was a brilliant opportunity to get some minutes in their legs, and I'm pleased with that, and everyone seems to have come through that.
“Then overall, pleased that we go through to the next round, really.”
Happy to avoid penalties
Parker continued: “Tonight, we started the game very, very well. Obviously, well worked goal, and then the game at times becomes a little bit sticky. A real disciplined team in a low block, and we probed really, but just lacked a little something in the final third.
“I think the winning goal for us probably summed up the sort of level of detail we needed. It was a lovely ball through the lines, a nice set from Barnsey and then a really nice bit of quality from Mikey as well.
"When you're playing against teams like that, you probably just need that little bit of quality to try and unlock it and that was pleasing. So, overall, I’m really pleased, generally pleased. Positives are some minutes in the legs; the boys will be in a better place for that and then pleased obviously to win the game as well.”
On Ramsey, he added: “I was really pleased for him. I thought he played really well tonight as well. He's been out for a long a long time Rambo, it’s been a long road for him. To get back, have 90 minutes, score a goal as well, and his general play, he was involved in the second as well. So really, really pleased for Rambo, he deserves that. It was a good performance generally from him.”