The 23-year-old scored 10 goals in 22 Eredivisie appearances for the Enschede-based outfit last season, and also struck six times in the Europa League.
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“It's hard to choose Ukraine this early in the transfer window, when everyone around him wants to see him play on a Saturday in the Premier League, a competition he wants to go to really bad,” Evrard told De Telegraaf.
“It's not easy for a player to take the right decision. Financially Shakhtar was very interesting and then it's hard to stay patient. But Chadli doesn't want to rush things.
“He wants to start the pre-season at his new club, but I’m not ruling out that he will start at FC Twente at the beginning of July. English clubs often buy players in the last stages of the window.”