The ex-Liverpool striker believes it could be a new dawn for Everton.
Moshiri and chairman Bill Kenwright watched on from the stands at Goodison Park as Roberto Martinez's men beat Chelsea 2-0 on Saturday to reach the semi-finals of the FA Cup.
It was a match that included a stunning solo goal from striker Romelu Lukaku - who went on to score again - as Everton remain on course for a first trophy in 21 years.
Moshiri's £85 million purchase of the Merseyside club was ratified by the Premier League last week, and with thousands set to descend up Wembley Way for the semi-finals, Collymore believes that the Iranian billionaire might be tempted to expand on his investment already.
"Everton get investment potentially running into the multi millions, whilst not yet having to hand him the power and potentially turning Everton into a Villa, Cardiff, Leeds etc etc," he wrote in his column for Boyle Sports.
"The question is, what can drive his thirst to put cash in? Well, like the Hammers, Saturday at Goodison is a bloody good start! A world class goal from Lukaku to get him out of his comfy paper seat, an early trip to Wembley as a part owner, and a squad as good as the Toffees have had since the mid 80’s couldn’t come at a better time for Bill Kenwright who looked like the cat who got the cream next to the new majority shareholder on Saturday.
"Perhaps if the new owner sees several hundred thousand blue shirts around the City on the parade, he may turn to Bill and say “I’m going to buy you a shiny new stadium Mr Chairman”. On such whims, multi billionaires do make decisions."
It has, however, been a rather disappointing league season for Everton, who sit 12th and do not have a whole lot to play for anymore.
Martinez's men will be joined in the last four by Watford, Crystal Palace, and West Ham United or Manchester United, who will contest a quarter-final replay following Sunday's 1-1 draw at Old Trafford.
Everton have a lengthy history with Goodison Park, with their first game at the stadium coming way back in 1892.