"We want to rain on their parade as it's said," Brouwer said after the Capitals' morning skate at the United Center on Tuesday.
Brouwer was drafted by the Blackhawks in 2004 and was part of their Stanley Cup championship in 2010. They traded him to the Capitals after the 2010-11 season.
"It's always fun to come back where you started in the NHL, where I was able to win a Cup," Brouwer said. "A lot of ties here, a lot of good memories here, but mixed emotions you want to play hard against your old team, but at the same point sometimes it's tough to leave."
Brouwer hopes the Capitals benefit from experiencing the Blackhawks' ceremony on Tuesday.
"[There's] mixed emotions, obviously," Brouwer said. "I'm happy for the guys I played with, happy for the city, but at the same point, jealous. I want to be raising the banner in Washington.
"Hopefully with the Cup being in here tonight and the guys being able to see what the celebration is like and how it is to win and how your city embraces you, hopefully that can light a fire under us to have a good start and hopefully win it ourselves this year."