The 23-year-old defender, who started his career at hometown team Portsmouth and had spells with Motherwell and Hamilton Accies, penned a one-year deal with Ton yesterday.
During his four years at Fir Park, Englishman Page had a two-month loan spell with Stirling Albion - who were then under Moore's stewardship.
The Binos went on to win the 2009/10 Second Division title that season, with the English centre-half picking up a winners' medal after making 16 appearances and scoring two goals. Page admits the draw of being reunited with manager Moore was a key factor behind his move to the Cappielow club.
Speaking exclusively to the Tele immediately after signing his contract, Page said: "My representative and the manager had been in talks for a while. I think the whole of Scottish football is moving very slowly and clubs aren't keen to overcommit, so I'm delighted to have signed for Morton and to get things sorted for next season.
"Last season, I started with Motherwell, played a couple of games and then went on loan to Hamilton until Christmas.
"At that point I signed a permanent deal because I couldn't continue the loan. When Billy Reid left and Alex Neil stepped in he did things slightly differently and I left at the end of the season.
"But it's worked out well because here I am at Morton. Allan Moore is someone I've worked with before and someone I'm looking forward to working with again.
"I have a lot of respect for him. He's a very honest and approachable guy. What he says is what he means; he doesn't mess you about.
"I played 16 games for him at Stirling in just two months there when we won the Second Division and that meant I played enough to pick up a winners' medal. It was great and the chance to work with the manager again was the main reason that I signed for Morton."
Last month, former Burnley and Bolton midfielder Joe McKee said Morton's ambition to build on last season's second place finish was a major attraction for him.
Page echoed those sentiments, adding: "Morton's success in the league last year was also an important consideration.
"Ambition is a big part of coming here. I want to be at a club that's winning games and challenging at the right end of the table. I hope we can do that again next season.
"It's very early to be making predictions - it's an old cliché, but you really do need to take it one game at a time - but I certainly wouldn't sign for a club that was lacking in ambition.
"For me, I'm aiming to play regularly, to play to the standard that I can do, and for the club I'm hoping to see us pushing for promotion."