The Cottagers remain in the bottom three tonight.
Parker told Sky Sports: "Today, we were first-class at times. We showed a bit of resilience and the other side of us as well, we played a little bit and got the win.
"We need to carry on now. It's a difficult period but the Christmas period can really make or break you - that's how important it is. We had to dig very deep and in the second half I thought we always looked a threat.
"Confidence-wise, it looks like we've turned a bit of a corner. We need to keep going and not rest on our laurels. We set our targets and need to carry on now. I thought we deserved the win today."
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