The Hammers have managed just one win this season to prop up the table with seven points after 11 games.
Their nine league goals is also the second fewest in the Premier League this term, but Parker thinks the Upton Park strikers can inspire a rise up the table after an improved performance in Saturday's 2-2 draw at Birmingham.
Boss Avram Grant employed a three-pronged attack at St Andrew's with Carlton Cole returning to the line-up alongside new arrivals Frederic Piquionne and Victor Obinna.
It looked a winning move when goals from Piquionne and Valon Behrami fired the Hammers 2-0 ahead only for the hosts to battle back for a draw.
Parker admitted that represented points lost for his side, but found enough encouragement in their attacking play to suggest they can put their early-season malaise behind them when West Brom visit east London on Wednesday night.
"I enjoyed [the way we attacked]," Parker said. "It was good. I thought we looked a threat on the break on Saturday and every time we went forward we looked like we could score.
"That was the case in the first half and second half, so that was pleasing."
He added: "We wanted to win the game and we came away with a draw. Probably we'll look back and think it was a good point.
"We deserved to win the game and it's our fault because at 2-0 up we shouldn't have lost the lead.
"We have to win games like this. We need to learn from this and just keep going. Saturday wasn't meant to be but we're looking forward to Wednesday now."
Skipper Matthew Upson returned from a hamstring injury for the draw at Birmingham - a match he said underlined the Hammers' inconsistency this season.
And the England defender has told his team-mates that, before they can climb out of trouble, they need to accept their performances so far have warranted their lowly position.
"I think some of our performances have been a mixed bag in the same game, with good and bad that has just cost us in little areas," he told the club's website.
"We've made bad choices and we've been punished heavily this season. We need to get back on a winning streak and a couple of wins will change everything.
"The brutality of the Premier League is that, if you make the wrong choice, you'll pay for it.
"We can't say we're not a 'bottom of the table club' because the facts speak for themselves and we are.
"The table doesn't lie and the points we have don't lie. That's the things we need to change and until we change that, we have to accept that we're in this position and we have to get out of it.
"I think we need to learn from games like Saturday and understand that once we went 2-0 up and our attitude, our decisions with the ball and the way we played the game needed to be different.
"If we'd done that, we'd have won the game."