Winger Will Buckley scored a goal either side of half-time for Albion, with two clinical finishes in a game with few chances for either team.
Freedman said: "We're disappointed with the result but if you break the game down it boiled down to not taking our opportunities.
"I think that Brighton had the rub of the green but they were two really fantastic finishes from them and you have to take your hat off to them.
"The simple facts were when we got the ball into the box we just didn't take our opportunities."
Freedman also revealed his long-term intentions for the club after the match.
He added: "The financial position has been clearly put out there about where we are as a club.
"The football club was in a fantastic position when we had 10 years in the Premier League. Now we are having a difficult moment but there is a plan there to move forward to make sure we address these issues.
"The plan is to get young players who can take us forward rather than signing older players who are on their way down as footballers."
- Sports & Recreation