The firm has been growing rapidly for years, but is now facing tough soaring costs and increased competition.
A sale of the company could value it at more than $10bn, according to the Wall Street Journal, which first reported the story.
Investment banking giant JP
Subway said that it does not plan to give any further updates on the process until it is completed and did not give any indication of how long it could take.
Earlier this month, the company announced its second year in a row of record sales. Subway said same-store sales rose 9.2 per cent last year, compared to 2021.
It added that it would "continue to execute against its multiyear transformation journey", that includes new menu items and modernising its restaurants, BBC reported.
Subway was founded in 1965 as
It went through several name changes before finally being renamed Subway in 1972.
Within two years they had opened 16 sandwich shops in their home state and then started to franchise the brand. It now has nearly 37,000 outlets in more than 100 countries, BBC reported.
Subway restaurants are owned and operated by franchisees, including thousands of entrepreneurs and small business owners.
In recent months, companies around the world have faced rising costs of everything from food to fuel, BBC reported.
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