The Belgium international has been linked with a potential move to the Serie A side this summer after a difficult second season at Old Trafford under Ole Gunnar Solskjaer.
The former Everton striker was largely out of favour in the second half of the season after Solskjaer took over the reins from axed manager Jose Mourinho.
ESPN FC are reporting that Conte is interested in a potential swoop to sign the Belgian forward from Manchester United but Inter Milan have not yet made a bid.
But Lukaku appears open to the idea of working with Conte after the Manchester United striker spoke in glowing terms about the former Chelsea FC boss following Belgium’s 3-0 victory over Scotland on Wednesday night.
“He [Conte] knows what I think about him,” Lukaku told Sport Mediaset, as quoted by ESPN FC.
“I’m not somebody who likes to talk about my personal relationships with managers, but you know, I’m a player of Manchester United and I have to respect my club.
“And if something happens, the teams and my agent have to do the talking. I have my decision and stay outside.”
Lukaku added: “I was always a big fan of the Italian league. I have two leagues which I always dreamed about which are the English league and the Serie A.
“So for me the Serie A is my favourite league as well – I love Italy.
“With the transfer of [Cristiano] Ronaldo, I think the Italian league is now coming back. Antonio Conte going back to Inter Milan, which is really good because he is, to me, the best manager in the world.
“And then you have Maurizio Sarri going to Juventus and [Carlo] Ancelotti at Napoli. So I think Serie A will be really exciting next year and I’m really happy for Italian football.”
Lukaku turned down the chance to move to Chelsea FC to work with Conte in 2017 in favour of a switch to Manchester United.
Conte was thought to have been keen to sign Lukaku to replace Spain international Diego Costa.
Chelsea FC ended up signing Spanish forward Alvaro Morata but the former Real Madrid striker struggled to perform for the Stamford Bridge outfit.
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