"I would certainly be disappointed if I didn't become a coach of an England club, as I am a huge fan of English football," Bilic said in an interview with the Vjesnik daily published on Monday.
Bilic has coached the national team since July 2006 and has since been targeted by several Premier League teams. However, he said he did not want to abandon Croatia before the end of the 2010 World Cup qualifying campaign.
"I still have several offers but I can't tell right now whether any of them will be realised. It is true that my goal is to coach a team competing in the best European leagues and England is my preference," he said.
Bilic played for West Ham and Everton before he retired.
Croatia are in Group Six of the European World Cup qualifying stage with England, Ukraine, Belarus, Kazakhstan and Andorra.
They have seven points from four games, but suffered a disappointing 4-1 home defeat against England and also played out a goalless draw in Ukraine.
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