The Belgium star has been in stunning form this season after impressing for the Red Devils during their run to the World Cup semi-finals.
Hazard, 27, has scored eight goals this season and the Blues host Manchester United next in the Premier League.
Buck was speaking at a Financial Times future of football event.
He said: "Every Chelsea fan in London and around the world loves Eden Hazard, and he’s not only a great footballer but I think he’s a wonderful lad.
"We want him to stay and we will do what we have to do to entice him to stay.
"Let’s see how it goes between now and the end of the season."
Hazard spoke about a potential switch to the Bernabeu at the end of the season during the international break.
He played 90 minutes for Belgium in their 2-1 Nations League win over Switzerland before getting in 45 minutes in the friendly against the Netherlands.
Hazard said: "Chelsea were clear with me [in the summer]. I couldn't leave the club. I accepted it.
Anyway… leaving or staying, I was going to be happy. I do not regret this decision at all.
"When decisions are made [that you may not like] you can sulk and often you get the last word. But I will never look to clash with the club. Chelsea have given me a lot.
"I left Lille on good terms and I want to do the same thing here.
"A transfer in January? It's not possible."
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