In a letter addressed to the Commerce Department, the registrars, all accredited by ICANN, said the governing body remained "the most viable solution to ensure the ongoing stability of the Internet's naming and addressing systems."
"As the domain-name marketplace continues to mature, we strongly believe that market forces and governmental authorities will be the principal guiding forces," the letter read. "We believe that somewhere within those guiding forces there exists, and will continue to exist, a significant role for ICANN that has been recognised by the Department of Commerce."
The letter comes a few weeks after a California judge ordered ICANN to open its books for inspection after board member Ken Auerbach sued the body in March, alleging he had been denied access to its records. ICANN has also come under criticism by members of the Senate for being a "flawed and ineffective" governing body for the Internet domain system.
Critics claim ICANN has been hampered by infighting between competing factions and have questioned the organisation's authority to dictate policy.
Nevertheless, the 44 members who signed the letter insisted that the differences between ICANN and the registrars can be solved in a "mutually agreeable manner."
ICANN is a nonprofit organisation formed in 1998 to allow more competition in the domain-naming business. The organisation has a contract with the US government to approve Web domain names ending in .info and .biz, and oversees policies to allow smaller companies to sell domain names.
