He has been credited with identifying several prominent players during his time with PSV, including Mousa Dembele, Dries Mertens and Kevin Strootman.
'The implausible ardour of the followers for his or her membership, the magnificent historical past of the membership through the years and the ambition and function we've got as individuals tasked with driving the membership ahead all imply that we should be competing for honours towards the Premier League elite.
He added: "It is no straightforward challenge but this must be our motivation each and every day".
But Brands, as well as the club's new chief executive Denise Barrett-Baxendale, will have the final say over who the Toffees latest head coach will be.
Allardyce was an unpopular choice with fans from the start but, having failed to lure Silva from Watford to replace Koeman, Moshiri took a pragmatic decision and went with chairman Bill Kenwright's recommendation to steer the club away from any potential relegation trouble.
With the vast majority of Everton fans not too upset to see the back of Allardyce, the news of Brands arrival has seen spirits soar further with many at the club so eager for change.
"I know we have very committed people here who want only the best for Everton".
Moshiri said: "Marcel's record of achievement has cemented his reputation across Europe and I am extremely pleased that we will be bringing his drive, energy and expertise to Everton".
'It is just a problem akin to this which may have persuaded me to depart PSV the place I'm indebted to the many individuals whose collective effort led to some nice achievements. "Now we will look to build something really strong and lasting here at Everton".
Walsh arrived on Merseyside with an impressive reputation after being credited with helping Leicester City's unlikely Premier League title triumph.