United's initial plan had been to move for Ozil in the summer when his current deal expires, and there had been a widespread expectation that Sanchez would go to City.
The 29-year-old pulled out of the deal after failing to sign a replacement in time.
"At a general level what I can say is that with the Manchester United board we do not believe a lot in the January market".
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Guardiola said: "When we play Basel in the Champions League, he could be ready". I don't know, but probably this weekend he is going to defend Arsenal colours so I do not think it is correct to say thing about Alexis Sanchez. "I'm focused on (playing) Liverpool, believe me".
Though they had been willing to wait until Sanchez's deal runs out in June to try to land him on a free, they are under the impression to wants to move this month.
"Normally he would stay until the end of the season - but we'll see", said Gunners boss Arsene Wenger. However, during his pre-match presentation before the match against Bournemouth, Arsene Wenger went on to say, "Look, honestly, I can not tell you much more at the moment about this situation".
"I think it's a good investment because we are talking about a top player and I'm hearing that the amount is around £20m".
Meanwhile, Mourinho has appeared to have confirmed his side's interest in Arsenal star after admitting that Sanchez is a "phenomenal player".