Sam Allardyce's side lie 15th in the Premier League table, just two points clear of the relegation zone ahead of this weekend's fixtures.
The Londoners have conceded just eight league goals all season, with Southampton and Tottenham the only teams with meaner defences.
But they have managed to score only eight goals themselves, a factor which Nolan concedes has prevented them from climbing the table.
"When you look at the performances we've put out this year I think we should be a lot higher," Nolan told Weekend Warm-Up.
"We've ended up being in and around the bottom three for most of the season but to have six clean sheets at this stage of the season, 10 games gone in the Premier League, you can't really ask for more.
"It's just down to us now to start putting the ball in the back of the net, that's the be all and end all."
Nolan scored 10 goals for West Ham last season, including a hat-trick in their 4-2 victory over Reading on the final day of the campaign.
He has struggled for goals this season though, with his only one to date coming in the opening day win over Cardiff, and with his side usually going on to win matches he scores in, Nolan is keen to find his goalscoring touch once more.
"When I score, we win games!" he added. "There's no doubt about that, when I score a goal I want to make sure it means something and we go on to win a game.
"I'm not about personal accolades or trying to score just to get my numbers up.
"I've got to score goals, that's a major part of my armoury if you like. I'm feeling that I'm starting to get the chances again."