The Toffees defender scored his fifth league goal of the campaign against Southampton and, with the club sitting in fourth, admits desire for a Champions League place
The result means that Roberto Martinez's side currently sit in fourth place in the English Premier League, just five points behind leaders Arsenal.
Speaking to the club's official website, the Republic of Ireland international revealed the ambition that existed within the squad.
"That's what we want and that's what we hope for, all the players," said Coleman when asked if there were realistic hopes of earning a place in the competition. "We are an ambitious group and that's what we are striving for."
He added: "We are taking it one game at a time and looking forward to what's ahead. We want to finish as high as we can and we are doing quite well at the minute."
Meanwhile Wigan Athletic manager Uwe Rosler has hailed the potential of Rob Kiernan after handing the former Republic of Ireland Under-21 international his debut with the club.
The 22-year-old replaced the injured Chris McCann after 83 minutes during the Latics' 0-0 draw with Burnley at the DW Stadium on Sunday, making his first appearance for the club since joining from Watford in 2011.
"Rob played in that role for me at Brentford, so I had total confidence in his ability to fit in there and he did very well," Rosler told the club's official website.
"I'm very happy for him to make his debut, I know what he can do and the potential he has and I'm looking forward to working with him again, this time at Wigan Athletic."