The Welsh manager has come under pressure in recent weeks following a string of results that has seen the R's drop to the bottom of the Premier League table with seven matches played.
However, Fernandes has given his backing to Hughes, claiming that there is "no way" that the 48-year-old will be told to clear his desk any time soon.
"For all QPR fans. Fans who analyse properly. I am not changing anything. And all shareholders agree. No team except the first game has outplayed us," Fernandes wrote on Twitter. "We need a consistent 4 defenders not changing every week esp left and right back. Mark is the right man.
"For all those calling for change this is the team that that outplayed spurs gave chelsea a damm good game and you want change. No way."
Hughes took over at Loftus Road in January of this year.