Freedman made the comments following Forest’s 3-1 defeat to Norwich City away from home on Saturday afternoon (click here to read more).
It was the heaviest loss suffered by the Reds under the Scot and inflicted a blow to the team’s chances of making the playoffs.
The Nottingham-based outfit are currently ninth in the Championship table with 57 points from 39 matches, 10 points behind sixth-placed Ipswich Town.
With just seven more rounds of matches left in the league this campaign, Forest have their work cut out, but Freedman is confident that they can finish in the top six.
“There's no way we are going to stop fighting for a top-six finish, even though it will be tough,” the 40-year-old told BBC Sport. “As manager of Nottingham Forest I would expect nothing less from the players.
"We will continue to show spirit and commitment for the rest of the season and battle hard for every point and we'll be going all out to win our next two games against Wolves and Brentford. If we can take six points from those, who knows what might happen?"
Freedman seems very confident, but there is no doubt that Forest have their work cut out.
The Reds will resume their Championship campaign after the international break with a home match against Wolverhampton Wanderers, before going on to face Brentford away.
Both Wolves and Brentford are chasing promotion to the Premier League, and it will be vey difficult for Forest to pick up maximum points against them.
However, if Forest can take even four points from their next two matches, then they should consider themselves among the contenders for a top-six finish in the Championship this campaign.