Lukaku admitted during the international break, that he hopes to play in Italy.
His comments have drawn criticism from Pallister, who feels the 25-year-old was out of order speaking out about his future, at a time when United are in turmoil after a poor start to the season.
“Real Madrid has always been the ultimate destination and if they come knocking even a club of United’s size can’t stop them.
“I think it’s disrespectful at times if you start mentioning other clubs when you’re actually contracted to the club you’re at.
“At a time when a club is under real pressure to have their leading goal-scorer say he’d like to move abroad – if that’s what he has done – is not the ideal scenario,” he told 888Sport.
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