The Belgium international, who joined the club in the summer for a reported fee of £7 million, has started just one game since Tim Sherwood replaced Andre Villas-Boas in December.
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"His situation is not easy at Tottenham at the moment. The World Cup is arriving so it’s a problem," Evrard is quoted as saying by the Evening Standard.
"For him to play at the World Cup it’s important so why not a loan? We haven’t spoken to Tottenham yet but I know there are clubs interested in him.
"There are a lot of players in the same situation who are not in the team and they want to play in the World Cup so there is a market for a lot of clubs. It’s important for him not to take any risks by going to a country he doesn’t know well."
Evrard also claimed that Chadli is growing frustrated at being played out of position at White Hart Lane, often being deployed on the wing when he is more suited to a central role.
He continued: "Nacer had to play in a role which doesn’t suit him. They wanted him to play on the left wing and he is not exactly a winger - he prefers to play through the middle.
"It’s very difficult for him because we’ve not seen the best of him at Tottenham. He has big potential so he is a little bit frustrated.”