They'll even go as far as giving up Henrikh Mkhitaryan on top of cash, meaning Sanchez is left with a choice of forcing through a move to City or jumping to the team happy to pay the big money.
The Chilean is out of contract at the end of the season but reports are suggesting Arsenal could sell in January for a cut price.
The Arsenal boss said: "I had many conversations about him and we talked about the fact that people are always observing you with a microscope when you're on a short-term contract, but I've never questioned his professional attitude when he's on the football pitch".
Moreover, the transfers of Samir Nasri and Robin van Persie from Arsenal to City and United respectively, should offer a reminder that a deal is not done until it is done.
Arsene Wenger, the Arsenal manager, admitted for the first time yesterday that Sanchez would not extend his contract, which expires at the end of the season, and United have now emerged as serious potential buyers.
The latest developments could be some chicanery from Sanchez' representatives to get a better deal for their man.
"So when the transfer window is open, it's also open for any club that is interested in our players".
Mourinho praises 'phenomenal' Sanchez as speculation mounts over United interest
Asked on Friday whether United had indeed joined the chase for Sanchez, Wenger said, "I can not tell you much more at the moment about the situation".
Arsenal boss Wenger said Sanchez would only be allowed to leave if they could get a new signing over the line - the club have been linked with young Bordeaux forward Malcom. Also, there are speculations that his agent is demanding a £5m signing-on fee, taking his total tally to £40m.
The Manchester United manager has a knack for using any press conference to his advantage, whether it's to take the heat off his players or pile it onto an opposition manager.
Now, I can understand the Jack Wilshere situation.
- Rwanda Saddened by President Trump 'Racist' Comments
- Cuba condemns Trump's "racist" statements on Haiti, El Salvador
- NFC Divisional Playoff Atlanta Falcons at Philadelphia Eagles: Preview and Prediction
- First Responders Search For Survivors After Deadly California Mudslides
- No work, no Medicaid? Illinois reviews new federal guidelines
- Best Memes of the Toronto Raptors Obliterating LeBron James & the Cleveland Cavaliers
- Russia criticises UN talks called by US — Iran protests
- Cavaliers Get Waxed For The Second Time In As Many Games
- OR physicians urge flu patients to call first due to overcrowding
- Cool Smart Home Assistants At CES 2018