The 35-year-old will finish his career at Stamford Bridge at the end of the season after being refused a contract extension, with moves to China, the Middle East and the United States touted.
However, Brondby, owned and bankrolled by Terry's friend Jan Bech Andersen, are keen to offer him his first steps into football management next season.
Andersen could offer the ex-England international a player-coach role at the Denmark club, where ex-Liverpool stopper Daniel Agger already plays.
