He played for 573 minutes at the World Cup this summer, picking up six goals and the Golden Boot along the way, and has started 61 matches in all competitions since the start of last season. Clearly ill at ease with the ball at his feet, the Stoke man nearly passed the ball into his own net in the sixth minute and his under-hit pass to James Tarkowski seconds later culminated in Xherdan Shaqiri hitting the post for the visitors.
"Harry falls in the category in which we have several players where we have to watch how much they play", said the Three Lions boss.
Gareth Southgate's World Cup semi-finalists came into the match on the back of three consecutive defeats and his much-changed line-up were off the pace in the first 45 minutes at the King Power Stadium.
"We were outplayed", said Rose, who was one of England's better performers.
England seemed shaky at the back from the first whistle, as goalkeeper Jack Butland didn't cover himself in glory in the early exchanges, with a couple of questionable passes.