Albion take on Arsene Wenger's Barclays Premier League leaders at The Hawthorns just eight days after coming away from Old Trafford with all three points thanks to Saido Berahino's winner.
That 2-1 victory over the Red Devils highlighted a welcome turnaround in fortunes for West Brom, who enjoyed a superb year last season only to start the current campaign disappointingly.
Clarke would love to see his side take two big scalps on the bounce by ending Arsenal's recent run of five successive league wins.
"I think for a team of our level we want to strive to be like the top teams and the top teams are capable of winning back to back," he said.
"To get a win at Old Trafford was good but can we push ourselves to that level again.
"We have good players capable of going to good places and playing well. This week at home it is different, the onus is on us. We have to move onto the next game but we go with the same positive frame of mind.
"We got the plaudits we deserved for the United win. It was a big performance, it was a shock for 99% of people but not within our own camp.
"It's a difficult place to get a result but it was a big day for us. But it's only three points and it only recovered some of the damage we inflicted upon ourselves after our start."
Defeat at home to Aston Villa on the opening day left some Arsenal fans calling for Wenger's head straight away but the Frenchman has guided them to victories in all five of their league games since then.
"I think Arsenal have been tremendous," said Clarke.
"They've looked really strong. Mesut Ozil is a fantastic signing and has given the team a whole lift and the other players are starting to blossom and get used to the English league. Arsenal are a strong team.
"They were outstanding for 30 minutes in the Champions League against Napoli and we have to be ready for that."
The Gunners were impressive in beating Serie A side Napoli 2-0 in their midweek European match and Clarke admits his own team may be able to take advantage of their opponents' busy schedule.
"I think, from working with clubs in Europe, there can be a hangover at times," he said.
"Arsenal had a good break with the fixtures, though and aren't playing until the Sunday so this week they'll be fine as their performance was good."
Berahino could make his Barclays Premier League debut as fellow forwards Victor Anichebe (groin), Shane Long (knee) and Nicolas Anelka (foot) are injury doubts for the fixture with the Gunners.