They add Ramsey was chasing a contract worth £200,000-a-week - which would provide parity with Pierre-Emerick Aubameyang and Henrikh Mkhitaryan, but still be some way below German ace Mesut Ozil. The former Arsenal Chief Executive is now at AC Milan and is familiar with the midfielder's contract situation meaning he could force the deal through.
BeinSport says United failed with a £50m bid for Ramsey.
The Welsh midfielder is out of contract at the end of the season and would be a big signing for any club, especially on a free.
"The best for us, for him and everyone is to take each match and do your best, to show every supporter their best quality".
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Ramsey is currently on just over £100,000-a-week (€112,000) but could realistically expect around £200,000-a-week over the next four years given his own status and the salaries that are now being paid elsewhere at Arsenal.
But despite the distractions, Ramsey has been backed by his boss to put it to the back of his mind and continue putting in performances for the Gunners.
Asked if that would have an impact on the player, Emery said "I think not". But Emery insisted such situations are not unique to Arsenal. Because the football career for the players is very short.
The Spaniard also suggested that Ramsey's situation will play no role in his starting XI decisions. They are professionals for 10,12 or 15 years, but not more, and they need to take the best performance and also work very hard in these years for their future and their family's future.
Watford created a few good chances in the second half, but a few good saves from Bernd Leno and resolute defending from the home side helped Arsenal to keep the game on an even keel going into the final ten minutes.