The win came after one of the most hard spells of Wenger's time at Arsenal following three successive defeats - the 3-0 losses to Manchester City in the League and Carabao Cup final and a 2-1 reverse at Brighton.
Shkodran Mustafi headed in Mesut Ozil's left-wing free-kick to give the Gunners an eighth-minute lead, before Pierre-Emerick Aubameyang collected Henrikh Mkhitaryan's pass to add a second.
Watford had a chance to score a goal from the penalty spot in the 63rd minute after Maitland Niles fouled Roberto Pereyara in the box but captain Troy Deeney's penalty was saved by Petr Cech.
The Gunners remain sixth on the table, 12 points behind fourth-placed Liverpool, who were displaced from third by Tottenham following their 4-1 victory over Bournemouth on Sunday, in a game that saw Harry Kane pick up an ankle injury.
Wenger's men welcome AC Milan to the Emirates on Thursday, with a 2-0 lead to protect.
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Aso is also under fire over the scandal although the finance ministry insisted on Friday he had no plans to resign. Aso blamed the changes on "some staff members" at the ministry, and said he had only learned about them on Sunday.
"The bottom line is they have to win the Europa League".
Former Manchester United forward Cantona reached the same number in 143 games.
Winning the Europa League guarantees qualification for next season's Champions League and, with Arsenal's hopes of achieving that goal via a top-four finish looking bleak, it was no surprise Wenger prioritised the continental competition.With the second leg against Milan looming on Thursday, Wenger rested Aaron Ramsey and Laurent Koscielny and left Jack Wilshere on the bench.
However, Ozil wouldn't be denied his 50th Premier League assist for long.
And Wenger piled on the praise for his goalkeeper and his "remarkable" achievement.
NCAA Tournament: West Regional Preview
The first full day of games begins Thursday. 9 Consecutive wins by both San Diego State and MI . Don't be surprised if you see Bluiett on the AP All-America First Team in a few weeks.
Watford have now lost all five of their away Premier League matches in the month of March.
"It shows fantastic motivation and a fantastic desire to always be the best".
"He will come back stronger than before". Watford came back strongly in the second half but we did well with set-pieces and got the second goal after Petr Cech made a great save on the penalty.
"I selected my team to have the chance to win the game and also rest some players I did not want to get injured".
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Philander added 22 to his overnight tally before being caught at short leg by Cameron Bancroft off Pat Cummins for 36. They picked off the runs after that measured start, with Warner accelerating by hitting nine fours.