Ramsay left United last month for the MLS club.
"As has been presented in the media and as I'm sure you've heard lots of people say, the Ineos vision for Man United is really exciting," Ramsay told the Press Association.
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"They, as well, have a lot of conviction in how elite sports teams should look and feel. There is a genuine Ineos way that I think the combination of that and the way in which Erik wants to operate, it could be a really exciting combination.
"I think you've got some phenomenally bright people now attached to the club, through the likes of Dave Brailsford and the people that they will inevitably bring in to wrap around the existing structure.
"So, I do think all the ingredients are there for the club to really move on to the next level."