The Hammers are currently in fourth place in the table thanks to four wins from their opening eight games of the season.
Despite City's wealth of talent across the pitch, Cresswell believes that West Ham are capable of causing an upset at Upton Park on Saturday.
"Man City are one of the best teams in the Premier League, but we're going to go into that game full of confidence, flying and looking forward to it," he told the club's official website.
"We've played eight games, got 13 points, if we keep that sort of form there's no reason why we can't make the top 10. I think that's realistically a good achievement for us, anywhere in the top 10."
West Ham picked up their fourth victory of the campaign last Saturday with a 3-1 triumph away to Burnley.