"We wish him the best and will keep on encouraging and motivating him to get back".
Pierre-Emerick Aubameyang, Welbeck's replacement, had the first real opening of the game but volleyed wide from just a few yards out early in the second half.
Unai Emery's Gunners were the better side for long periods at the Emirates against a team who have already had three different managers this term, but had to settle for a point.
Olivier Giroud got the only goal of the game as he headed in Emerson's cross but the hosts had chances to level it up - hitting the woodwork three times.
The win on their travels stretches Sarri's unbeaten run to 17 matches and next up they welcome Everton to Stamford Bridge on Remembrance Sunday.
Pre-fork trading for Bitcoin Cash, cryptocurrency exchange Poloniex announces
With this significant increase in the price of Bitcoin Cash , holders and traders appear to welcome the price jump. The Bitcoin Cash SV proposal , from the nChain group, was publicly supported by the CoinGeek crypto mining group.
Giroud had not scored for Chelsea since May, as the striker went 794 minutes without finding the back of the net for the Blues.
"Tonight I thought they made similar runs at the same time. We felt that for him it's better to play, not for 90 minutes, but to play after two weeks of not playing", the Italian coach explained.
Chelsea tops Group L with a maximum 12 points.
Chelsea are in a similar position to Arsenal in that a win in Belarus should ensure that they finish top of Group L. "He's a very important player for us, he's very useful for the team but I know very well that strikers want to score, and so for his confidence it's very important".
Salzburg, semi-finalists last season, qualified for the next round with a 5-2 thrashing of Rosenborg in the group's other match, with Japanese forward Takumi Minamino scoring a hat-trick.
Elsewhere, Eintracht Frankfurt won 3-2 at Apollon Limassol to advance while Lazio beat Marseille 2-1 to march into the next round and send last year's runner-up out.
- Imelda Marcos faces Philippines arrest after guilty verdict
- Protesters across United States seek to protect Russian Federation investigation
- Gunman kills 12 in California bar packed with students
- Malibu Under Evacuation Orders as Massive Fire Rages
- Adriana Lima Cries At Her Last-Ever Victoria’s Secret Show
- Thousands Evacuated Due to Fast-Moving Wildfire in Butte County
- 'Non-Official' Talks With Taliban In Sync With Indian Policy: Centre
- McConnell touts 'bipartisanship,' warns Democrats against 'presidential harassment'
- Blockchain Wallet Announces Biggest Ever Stellar Lumens (XLM) Giveaway
- Rajinikanth hits out at AIADMK for protests against Vijay-starrer Sarkar