The group Cancer Not For Profit wants to stop attempts by Staffordshire's four clinical commissioning groups, including Cannock and Stafford, to contract out both cancer and end of life services.
It has so far attracted 62,635 signatures.
Campaigner Gail Gregory, of Gnosall, set up the petition that has attracted the backing of national campaign group 38 Degrees.
Mrs Gregory said she has been overwhelmed by the online support.
"There are strong feelings against this. I am concerned that it is just privatisation," she said.
Cancer Not For Profit is calling on the public to join the fightback after the announcement that Virgin Care has secured a seven-year contract from East Staffordshire CCG for elderly person care.
The group previously lodged a petition containing more than 8,000-signatures to Staffordshire County Council opposing the £1.2 billion move. That petition is still running and has around 15,000 names.
The 38 Degrees website states that if CCGs don't pull out, taxpayers' money will go to shareholders rather than improving care.