The win kept United firm on the heels of Chelsea, moving up to fifth on the Premier League table.
When asked if the performance was a statement of intent in the race for Champions League qualification, Solskjaer told Sky Sports: “I don’t care about making a statement, I know we are a good team.
“We are full of confidence and full of quality as well. The boys played some exceptional stuff.
“It’s always hard playing against Brighton, Graham [Potter’s] team keep the ball well, but we pressed well and started really well.”