The midfielder, who snubbed Tottenham’s interest and signed a new four-year deal at Upton Park earlier this week, scored the Hammers' only goal in the final minutes of the match as Chelsea dominated once again.
But Parker was happy with his team's display despite the defeat, and hopes the Hammers can carry that form into their clash at Stoke City next weekend.
"Obviously we can take some positives out of today's game," Parker told Sky Sports. "We were playing a very good side in Chelsea.
"We go into the Stoke game now and we need to reproduce the positives in that game."
Despite his upbeat mood, Parker admits that the Hammers need to start banking points after losing all of their opening four games of the campaign.
"It's been a difficult start for us and we're not kidding ourselves," he added.
"But at the same time we need to win games and we know that and we're trying our hardest.
"Everything we're doing, in training and going into games, we're going into them to win them.
"At the moment it's been a bit tough and the quicker we can get some points the better."
And after committing his long-term future to the Hammers, Parker is happy to be back focusing fully on football without the added pressure of transfer speculation.
"I'm just pleased that it's over to be honest because it's a bit stressful when you're not really sure what's going on or where you're going to be," he said.
"I'm pleased that I'm here and I can concentrate on football and do my best for West Ham.
"I'm really happy to be part of it and I'm hoping to help us get some points and move up the league."