Sweden's top striker in history took exception to some of the decisions made by referee Lionel Jaffredo following his side's 3-2 defeat to Bordeaux and was furious at the final whistle when he stormed down the tunnel.
"Those who consider France a shit country can leave it," she said.
France's Sports Minister Patrick Jenner called the remarks "insulting", while Jerome Guedj, a leading Socialist party politician, called the remarks "unacceptable".
"Let him play football and shut up, or at least be respectful of this country, the football supporters who were also insulted."
Meanwhile the French referees union, SAFE, hit out at what it called "a new torrent of hate and verbal violence" by Ibrahimovic.
"There are limits that cannot be and must not be crossed," the union said, highlighting the "growing violence" at football matches even at local level.