Cotton was waived by the Dolphins on Monday, Joe Schad of The Palm Beach Post reports.
Cotton (ankle) is active for Sunday's game against the Giants.
Miami signed Cotton to its practice squad Tuesday, David Furones of the South Florida Sun Sentinel reports.
The Raiders waived Cotton (calf) from injured reserve Thursday.
Cotton (calf) was placed on the reserve/injured list Saturday.
Maye (abdomen) is questionable for Sunday's game against the Steelers, Katherine Terrell of ESPN.com reports.
Cotton was restored to the Raiders' practice squad from the COVID-19 list Monday.
Cotton (undisclosed) was placed on the Raiders' practice squad COVID-19 list Wednesday.
Cotton was elevated to the active roster from the practice squad Monday.
The Raiders promoted Cotton to the 53-man roster Saturday.