The Magpies currently sit ninth in the Premier League table, eight points off sixth-placed Everton and the berth that is set to secure Europa League action next term.
Alan Pardew's side slipped to a disappointing 1-0 defeat at bottom-placed Fulham last Saturday and, with just nine games remaining, Ameobi is targeting results fast - starting with the upcoming two home matches against Crystal Palace and Everton.
He told The Journal: "Hopefully I can help us in these last nine games and play a part in the run in and see if I can get up as high as I can and hopefully finish in a European position, which is our ambition as a club.
"We still believe we can do it. As players you look and see there is still 27 points to play for. That's a lot of points and way more than enough to get us into Europe.
"We're still fighting even though Southampton have gone ahead of us but we play the next two games at home and they will be vital come the end of the season as to where we finish.
"As disappointed as we are with this result we have to move on and hopefully use those next two home games to really push up the table."
After Saturday's game with Palace, Newcastle go into crucial clashes with the sixth-placed Toffees, seventh-placed Manchester United and eighth-placed Saints.
"We've got Everton, Man United and Southampton; whatever happens in those games will probably determine how well we do, but every game is huge now," Ameobi added.
"The last 10 games of the season your fortunes rest on, and it's important you continue to carry the momentum we've had throughout the season.
"We don't want the season to peter out, we really want to push ourselves as players.
"Setbacks are always going to happen, but it's how you react to them and we have to make sure we react quickly to this defeat."
Meanwhile, Luuk de Jong is confident the Magpies can get the goals to beat Palace without the injured Loic Remy, despite not having won a Premier League game without the on-loan QPR striker this season.
"You can see that other players can score goals. In the game against Hull we scored four goals," he told The Shields Gazette.
"Of course, Loic is a good player. Also, Mathieu (Debuchy) - who is not there - is a good player as well.
"But we've got players who can fill in as well. We have to work hard in training again.
"We can't always depend on them, but they are good players, and you will always miss good players."