The Red Devils climbed back into the top four thanks to Rashford’s 15th Premier League goal – and 28th in all competitions for his club – this season.
“Yes, it’s the truth,” said Ten Hag when asked whether United were too reliant on Rashford.
“But we know other players can score as well. Bruno [Fernandes] can score as well. We have many more players across the squad who can score.”
Only Napoli’s Victor Osimhen has more league goals in Europe’s top five leagues since the World Cup than Rashford, who has scored 10 winners in the Premier League this season, the most by a Manchester United player in a campaign since Wayne Rooney in 2009-10.
His latest winner took United back above Tottenham in the race to qualify for the Champions League, and was the response Ten Hag needed following Sunday’s defeat at Newcastle.
Brentford, who are chasing European qualification, lost for only the second time in 17 Premier League matches.
Scott McTominay and Antony went close before Rashford finished from close range, with a headed assist by Marcel Sabitzer, after the Bees failed to deal properly with a corner.
Brentford, flat for large parts of the first half, were much better after half-time and United were relieved to hear the final whistle.
Home goalkeeper David de Gea needed treatment after making a crucial save to keep out substitute Kevin Schade.
United are level on 53 points with third-placed Newcastle – and three ahead of fifth-placed Tottenham, who have played one more game than their rivals.
Brentford stay ninth – three points behind sixth-placed Brighton, having played two more games than the Seagulls.
Credit: BBC Sports
Narrow win for united and not a convincing performance from them.