The Miami Dolphins claimed kicker Cody Parkey on Sunday to replace Andrew Franks, who was waived by the team.
The Browns had waived Parkey this week as they trimmed their roster to 53 players.
Parkey, 25, lost his job to rookie Zane Gonzalez, a seventh-round draft pick. Gonazlez may have sealed Parkey's fate when he connected on a 53-yard field goal in last Thursday's exhibition win at Chicago.
Parkey joined the Browns in Week 3 last season after Patrick Murray injured his knee in practice. Parkey missed three of six field-goals in his debut -- he only met his holder and snapper in pre-game warm-ups -- but recover to make 17 of his next 19 attempts.