Marcelo Bielsa's squad exited this year's Carabao Cup competition at the fourth round stage on Tuesday night, losing 2-0 at the Emirates.
Leeds were back in midweek action following Saturday's draw with Wolves as the Elland Road outfit opted for a strong line-up in the capital.
United created numerous first half chances against their hosts, though failed to make Arteta's men pay as they deployed several quick counters and forced Bernd Leno into a number of saves.
Bielsa's outfit were unable to recreate their strong showing in the second half, conceding twice as substitute Calum Chambers and former loanee Eddie Nketiah both found the back of the net to send Leeds out of the tournament.
Arteta - who also opted to put out a first team heavy starting line-up on home soil - admitted Leeds caused their hosts problems before his team took over after the interval.
"A really good performance over a team where the manager in every action is so committed," Arteta reflected post-match.
“We understood the game and what we had to do, we did this the right way. They gave us some issues, they always do, but we created a lot of shots and situations without being very clinical, we adjusted a few things at half time and we were better and stronger.”
Asked about former Whites loanee Nketiah, Arteta said: "I have no doubt over what he can offer. Whatever you throw at him, he wants more. I'm delighted to see the performance he had, because he totally deserved it."
The Gunners also saw Ben White - a familiar face to Leeds fans - leave the field of play early and his manager revealed the reason why afterwards.
"There's a bug going around," Arteta added. "Ben had it for the last day or two. He wasn't feeling great so we decided to take him off."

1. Toon willing to spend big on Ten Hag
Newcastle are willing to make Erik Ten Hag one of the highest-paid managers in the Premier League - but the Dutchman is reluctant to leave Ajax. The Toon Army are willing to offer a pre-tax wage of £11 million. (Daily Mail) (Photo by MAURICE VAN STEEN/ANP/AFP via Getty Images) Photo: MAURICE VAN STEEN

2. Potter hints at January recalls
Graham Potter has not ruled out recalling some players who are out on loan if their injury problems mount. (Sussex Live) (Photo by Steve Bardens/Getty Images) Photo: Steve Bardens

3. Gattuso willing to join Magpies
Gennaro Gattuso is open to joining Newcastle until the end of the season in a “sensational twist”. (Fabio Santini - Area Napoli) (Photo by Gabriele Maltinti/Getty Images) Photo: Gabriele Maltinti

4. Bereszynski could join Inter
Bartosz Bereszynski, who was linked with a move to Celtic and has admitted turning down Aston Villa, could join Italian champions Inter Milan in 2022. (Calciomercato) (Photo by Getty Images) Photo: Getty Images

5. Lang in demand
Borussia Monchengladbach have joined Arsenal in the transfer race for Club Brugge winger Noa Lang as they are convinced reported Everton target Marcus Thuram will leave the club. (CalcioMercato) (Photo by JOHN THYS/AFP via Getty Images) Photo: JOHN THYS

6. Chelsea could recall Broja
Chelsea could recall striker Armando Broja from his loan spell at Southampton in January thanks to a clause in the deal that took him to St Mary's over the summer. (Goal) (Photo by Ryan Pierse/Getty Images) Photo: Ryan Pierse

