Jacob Bruun Larsen struck for Burnley, with Wolves' goal coming from Jorge Strand Larsen.
"It was another step in the right direction for us," said Parker.
"To be fair to the lads, it's been a tough week, a really full-on week, so I was really pleased with the general performance today.
"We're nudging along in the right direction, there were some really positive bits, so it was really pleasing overall."
A good week
Parker added: "It's been a good week, I think we've found a really good balance, between working hard - that's been very evident - and socialising together as a team, which is vitally important too.
"We've spent some nice together - I always say this group is as tight as anything, it's a great environment to work in.
"Camps like this are long, you have to fill time, and we've done that in a really good way.
"There's a togetherness amongst the squad - it was vitally important last year, and it will be this season too.
"That brotherhood, that bond - it's so crucial."