The Welsh midfielder has been relegated to the Gunners over the last 12 months of his current deal and after a decade in the Gunners.
Premier League rivals Chelsea and Liverpool were even rumored to weigh moves for the 27-year-old.
But on Tuesday evening the transfer window for English clubs was closed, for Ramsey there were no overtures.
And Arsenal will now hope to move forward with the negotiations to prevent losing their key man in vain in one year.
Arsenal's new era starts against Manchester City tomorrow (4 pm) with the club under the direction of a new manager for the first time since 1996.
Prior to the defending champion's visit, Emery told reporters Ramsey's contract, "It's not my job, it's very important for me that he stay with us.
"His experience here in Arsenal and the Premier League is very important and will give us all the information and services in its quality.
"Then the contract is to talk to the club and the players."
Ramsey – who captained the captain's armband several times during the preseason – was nominated as one of five captains for the upcoming campaign. Laurent Koscielny led Emery's leadership group.
Petr Cech, Mesut Ozil and Granite Xhaka make up the rest of his leadership pool.
With Koscielny injured, Ramsey skippered the team in their league kickoff against City, who have overcome a calf complaint this week.
BBC sports reporter David Ornstein revealed this week that Ramsey – who has made 327 appearances for the club and scored 58 goals – is no closer to signing a new contract, but the North London side hopes to reach an agreement.
Speaking about the situation in late July, Ramsey himself told Sky Sports News, "We'll see what happens, but my agent and the club are talking.
"I'm not sure what it's all about, I'll just let them discuss it and find out, but we'll have to come to an agreement.
"This is something my agent and the club are discussing to get things done.
"It took so long for us to wait [when it happens], "