The American businessman claimed that the United following should be satisfied with the work of the Glazer family despite the majority of fans being unhappy with the club's ownership.
"If I was an Arsenal fan this would be ringing alarm bells," The Sun quotes Man United Supporters' Trust chief Duncan Drasdo as saying.
"Backing the Glazers may not be surprising. But considering the debt burden they imposed on United and their lack of passion for the club, it is certainly revealing."
Kroenke took control of the Gunners earlier this year after being a shareholder since 2008.