The 25-year-old made the comments following the Hammers’ 1-0 defeat to Aston Villa away from home in the Premier League on Saturday.
Manchester United-owned midfielder Tom Cleverley’s goal just past the half-hour mark proved to be the difference between the two sides at Villa Park.
West Ham’s final two Premier League games are against Everton at the Boleyn Ground and Newcastle United away from home at St. James’ Park.
Cresswell is determined to win both of those matches and told the Hammers’ official website: “We want to finish with a flourish by taking six points from the two games against Everton and Newcastle, to try and finish as high up that table as we can.”
Sam Allardyce’s West Ham side are currently 10th in the Premier League table with 47 points from 36 matches.
The London outfit look set to finish in the top 10, and the fans will certainly want them to end the 2014-15 campaign on a positive note.
Defeating Everton at home will not be easy, but West Ham should head into the match with confidence.
The Hammers do have some good player, and if they get an early goal, then they should be able to pick up all three points.
While Newcastle are struggling for form and for points at the moment, John Carver’s side will be tough to beat on the final day of the season.
The Magpies are fighting for survival in the Premier League, and they will certainly give West Ham a run for their money.