The outlet claims that an offer did come in for the England international, who is on a reported £50,000-per-week [Source: Spotrac], but that it was knocked back.
This seems like a bit of a strange decision from West Ham. Yes, Cresswell is a decent Premier League player, but he has appeared to be on the downslide for some time now. He was up and down last campaign and lost his place to Masuaku towards the end of the season. Masuaku himself is as inconsistent as it comes. He was terrific down the back end, but before that he was a bit of a defensive liability. So for Pellegrini to reject a bid for the 29-year-old, which could bring in some decent money for the transfer kitty, seems a bit bizarre. The Chilean would surely be better advised to cash in on Cresswell and use the money to go and solve his left back conundrum once and for all. Perhaps he feels he has more urgent needs in the transfer market, but you do wonder whether it was the right call to turn down this offer.