Allardyce said: "I wouldn't say we have any interest in Franck Queudrue.
"Heinze - if I wanted him, I don't think he would come. I think he would have hit sights on a greater club than this one.
"Certainly, if he got away from Manchester United, I'm not so sure that it wouldn't be another club somewhere else in Europe rather than in this country.
"It would be nice if he did want to come and we could pursue it, but I don't think we can."