Brown was a member of the Bears team under Bob Woolmer which won the 1994 title and then again the following year when Phil Neale was in charge. Brown has succeeded Ashley Giles - who left to coach England's limited-overs sides - at the helm and is also aiming for back-to-back titles ahead of the season curtain-raiser with the MCC in Abu Dhabi starting on Sunday.
Brown said: "It is really important we go out there to win the championship again."
He added: "In 1994-1995 we changed from Bob Woolmer to Phil Neale as coach and won back-to-back championships. It can be done with the right structure and vision in place.
"The squad has enjoyed good preparation both at home this winter and latterly during our pre-season camp in Barbados,
"MCC has selected a strong squad, so the match will be great preparation ahead of our championship programme."
Warwickshire squad (v MCC at the Sheikh Zayed Stadium in Abu Dhabi, starting on March 24) from: J Troughton (Captain), T Ambrose, P Best, V Chopra, R Clarke, L Evans, O Hannon-Dalby, A Javid, P McKay, T Milnes, W Porterfield, I Westwood, C Wright.