Arsenal are also in the FA Cup semi-finals where they play Manchester City next month.
Danny Welbeck and Alex Iwobi have overcome illness but Kieran Gibbs is a doubt with an unspecified knock, while Mohamed Elneny (ankle) and Santi Cazorla (Achilles) are out.
Fan protest against Wenger has reached new heights recently, especially after Arsenal exited the Champions League at the last-16 stage for the seventh straight year.
"We have to take care that the game remains fluent and dynamic, and that there are not too many stoppages in the game, especially if we go to video (replays) as well", said Wenger. "Our job is to do as well as we can until the end of the season". "It's a very balanced team with a good size who are very equipped to deal with the Premier League".
Arsenal manager Arsene Wenger has refused to set a target for this season and hit out at critics, saying they are unlikely ever to be satisfied with anything the north London club achieves.
Recent statistics will make for worrying reading for Wenger as he has failed to get the better of Pulis in five of their last six games when Arsenal play away.
"Every press conference is about that and we have talked enough about that".
Pep Guardiola: 'Improved second-half display not enough for Manchester City'
City's exit also leaves Leicester City as the only English club left in this season's Champions League . We were not there and we were not there in the first 45 minutes.
This fixture seems ideal for Giroud to lead the line for Wenger's side, and Merson says he'd be shocked if the 30-year-old weren't included.
A footnote added: "Michael's recommendation: West Brom Double chance (draw or win) 11/10".
"They have a big experience, they are well organised, physically very strong and very efficient on set-pieces", Wenger said. He has taken the team onto the next level and they should be confident of remaining in the top eight until May.
West Brom are in eighth place in the Premier League table, and Wenger knows their size will pose a hard challenge for his team.
Arsene Wenger is under increasing pressure to leave when his contract expires at the end of the season following the Gunners' Champions League humiliation against Bayern Munich.
The Baggies could lose three Premier League games in a row for the first time this season.
Alexis Sanchez has been directly involved in a league-high 26 goals in as many appearances this season, scoring 17 and providing nine assists.