The Chile global was expected to depart the Emirates Stadium during the recently-concluded transfer period, only for the Gunners to reject multiple bids from Manchester City for the wantaway forward.
But Wenger appeared unconvinced their position had improved over the summer.
Alexis Sanchez is completely committed to Arsenal and will quickly win over any doubting fans, manager Arsene Wenger said after his side cruised to a comfortable 3-0 Premier League victory against Bournemouth on Saturday.
Sanchez was introduced for Welbeck in the closing stages to a mixed reaction, with a number of supporters jeering his name - presumably upset with his apparent desire to leave for City.
"That might mean we have to play players who do all the running for him and get him the ball to allow him to create". "The best way to get people on your side is to perform." . Maybe [he was unhappy] because he wanted to score.
"The interpretation of the attitudes is always very unsafe".
After the visit of Bournemouth and a home clash with Cologne in the Europa League on Thursday, Arsenal travel to Stamford Bridge to take on Chelsea.
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Wenger was also delighted to see the versatile forward among the goals, with even more expected from Welbeck if he is able to steer clear of the treatment table and get important minutes under his belt. "Now that Francis is out he has a chance". I don't know why [people booed]. "He's not far from that".
Bournemouth have lost all four games this season and Eddie Howe's men look set to be on the end of another defeat this afternoon.
"It will be a Premier League team", he insisted.
"Parking the bus is not our way", he said. "And on the football front you see he is a great player".
"I don't think complacency can be the problem for us".
"We were a bit passive, too reactive. So two or three will not be in the squad, but a lot of them will play".
Only a stoppage-time victor from Raheem Sterling prevented Bournemouth from taking a share of the spoils from Pep Guardiola's men but the loss here was a different matter. We were disappointing from start to finish. We had a committed, disciplined and a very good offensive performance.