Last week health secretary Jeremy Hunt launched a stinging attack on doctors and demanded that they work on weekends.
Hunt said 6,000 people die every year because there was a "Monday to Friday" culture within the NHS.
He cited the figure from research that has not yet been published.
NHS staff weren't too impressed with Hunt's remarks. First, huge numbers of doctors working during the weekend used the #ImInWorkJeremy hashtag to tell the health secretary that they were in fact working.
And now this petition, on the government's website, for parliament to debate a vote of no confidence in Hunt is being widely shared by doctors.
The petition has already been shared more than 6,000 times on Facebook and Twitter. Another petition calling for the resignation or removal of Hunt as health secretary on change.org has attracted over 80,000 online signatures