The petition, titled "Have Danny DeVito play the rebooted Wolverine in the MCU", set a goal of 25,000 signatures. As of Thursday (local time) 19,208 people have signed the petition since its creation two weeks ago, with the number of supporters rapidly increasing.
The DeVito fan behind the petition to Marvel, a user known as 'Ring Arius', said: "[Danny DeVito is] the only man able to take the throne after Hugh Jackman.
"We believe that if Wolverine is to make an appearance in the Marvel Cinematic Universe that the only man able to pull it off is Danny DeVito."
Ring Arius updated the petition nine hours ago, saying: "I see the petition blew up again!... We have passed many milestones on our journey to greatness!!...Soon we may have what we want."
The 74-year-old actor has most recently starred in the 2019 remake of the classic Disney film Dumbo. His almost 50-year career and vast filmography includes Batman Returns, Matilda and L.A. Confidential.
Hugh Jackman ditched the Wolverine claws in 2017 after playing the character throughout the X-Men film series from 2000 - 2017. The 50-year-old said he didn't want to drag the franchise out any longer.
In the "Reasons for signing" section of the petition, a number of DeVito supporters have made their beliefs known. "This is the most important cause I've ever supported," said one user.