Ramsey said: "We've had a couple of good meetings".
And, although the Arsenal statement did not outright confirm Gazidis is staying, Emery, who is preparing his players for the new season at the International Champions Cup in Singapore, said his relationship with the club's chief executive remains strong. The Wales global said on Wednesday that talks are taking place with the club, who want to tie him down to a new long-term deal.
"Football changes every day".
"I can just say I'm enjoying myself more here than I was in Manchester".
"Aaron is an important player for us, and the contract is one thing for the club and the player".
"What we have seen from him is that he's very passionate, tactically we've been doing a lot of work on the training pitch and I'm excited to get started under him".
"We're all looking forward to the new season and we're going to try to do our best to help this team reach the top four of the Premier League".
Ivan Gazidis to leave Arsenal to become AC Milan executive director, say reports
Gazidis has been at Arsenal since 2008 and played a key role in bringing Unai Emery to Emirates Stadium as a replacement for long-standing manager Arsene Wenger.
Emery's current plan is to have five Arsenal captains, with the players ranked in order of who is first-choice captain to the fifth option.
Arsenal goalkeeper Petr Cech feels reassurances over his future would help Ramsey to focus on finding his best form in 2018-19, and named the Wales worldwide as one of the club's best players.
This [Ramsey as captain] is not yet official, this decision.
As well as a wage hike there is the added incentive that the 27-year-old midfielder is one of the contenders for the captaincy following Per Mertesacker's retirement and the long-term injury to Laurent Koscielny.
Arsenal teenager Emile Smith-Rowe cancelled out Luciano Vietto's opener to take the game to a shootout.
The Gunners though are not prepared to pay the 29-year-old's €40m release clause as Arsenal fans took to Twitter to express themselves.