Hodgson is yet to see his side score a goal since taking charge three games ago and the club remain second bottom of the Premier League, three points from safety having not won since November.
Watford’s struggles in front of goal continued on Saturday despite Emmanuel Dennis proving a threat, striking the crossbar after a neat solo run in the second half.
“The only people who will get us out of this are the players,” Hodgson told BBC Match of the Day.
Asked whether his record of never having been relegated from the top flight could aid the Hornets’ survival bid, Hodgson said: “It puts me in good stead going forward, but I need a group of players with the same resilience and ability to get over disappointments.”
Striker Neal Maupay looped a superb half-volley into the top corner from Tariq Lamptey’s low cross moments before the break to open the scoring for Brighton.
The visitors always looked more likely to double their lead and they did so eight minutes from time when Adam Webster bundled in from a corner.
“In the first half we didn’t play anywhere near as well as I was expecting,” added Hodgson. “We were better at the start of the second half but still without creating the threat or goal chances we needed.
“The game gets put to bed with a scrambled goal from a corner. We were hoping for a lot and to start a revival, so now we go to the next game and hope we can start it then.”
Graham Potter’s Brighton remain ninth and on a seven-match unbeaten run in the top flight that has seen them edge towards the European spots.