The 33-year old English left-back has joined the Giallorossi on a two-year deal after coming out of contract at Chelsea earlier in the summer.
Former Arsenal defender and England international Cole underwent a medical on Monday before putting pen to the contract which is expected to land him around £3.65million in wages.
"The agreement also gives the club the right to extend the contract into a further season."
Additionally, Roma posted the following on Twitter:
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