The Gers have won the Scottish Championship title this season and have gained automatic promotion to the Scottish Premiership.
The Ibrox side are expected to sign players in the summer transfer window in order to compete with Old Firm rivals Celtic in the Scottish top flight next season.
Murray has outlined the importance of McParland in Rangers’ activity in the transfer market in the summer.
"The key thing now is recruitment,'' Murray told ESPN. "Frank McParland is the key guy and we have a lot of confidence in him.
"We have a lot of confidence also in Mark, David Weir (assistant) and the rest of the team. We have supported them thus far and we will support them going forward.”
McParland, who joined Rangers in October of last year, has worked with Gers manager Mark Warburton at Watford and Brentford.
Rangers have a strong squad, but the Gers do need to sign two or three more quality players in order to finish in the top two or the top three in the Scottish Premiership next season.
The Glasgow giants’ recruitment in the summer of 2015 and in the January transfer window was good, and fans should remain optimistic that the club will make good signings ahead of the 2016-17 campaign.