The Rams beat their East Midlands rivals 4-1, and it was the half-time substitute who helped inspire a second half comeback with Forest leading after 45 minutes.
Bunjaku equalised Oliver Burke's opener, before Leon Best, John Eustace and Lee Naylor turned the result into a comprehensive victory for the home side.
Derby's side also included Atletico Madrid loanee Ivan Calero while Forest started former Barcelona under-19 captain Roger Riera in midfield and a trialist in goal.
Bunjaku, pictured above before playing against Arsenal with their captain Isaac Hayden, is a 21-year-old attacking midfielder who is eligible to play internationally for Kosovo.
The attacker signed from Sevilla in the summer where he had spent two years after leaving Arsenal's academy in 2012.
He is yet to feature for Derby's first team in the Championship, but has made eight appearances for Derby's under-21 side, scoring twice and providing one assist.