The German midfielder was supposed to lead the team in the penalty shoot-out loss against Frankfurt but decided to hand it over to defender Nico Schlotterbeck before the match.
"I gave Nico the armband because I felt I haven't been in the starting lineup much in recent weeks," said the 29-year-old to Kicker after the defeat.
"For us as a team, it's important to have some continuity and a permanent point of contact. He is doing the role really well right now."
Brandt scored the equaliser for the BVB in the second half of their cup exit against Frankfurt but could not help his side in the 4-2 penalty shoot-out loss, handing his team their second defeat in all competitions this season after losing Der Klassiker derby recently.
Schlotterbeck is expected to continue as Dortmund's skipper in the absence of the injured Emre Can.
Jonas Urbig has praised Bayern Munich's mentality and team spirit after playing a starring role in their 4-1 comeback victory over FC Koln in the DFB-Pokal second round on Wednesday.
Bayern Munich's blistering form under Vincent Kompany reached historic levels as they stormed into the DFB-Pokal round of 16 with a 4-1 victory over Koln.
Borussia Dortmund secured their place in the DFB-Pokal round of 16 after a thrilling encounter with Eintracht Frankfurt, triumphing 4-2 in a penalty shootout following a 1-1 draw after extra time.
Bayern Munich sporting director Max Eberl has hailed Nicolas Jackson's growing influence after the Senegalese striker impressed in the club's recent Bundesliga victory over Borussia Monchengladbach.
