Answer: Casey Kotchman
Casey Kotchman began his MLB career in 2004 with the Angels. He came to the Atlanta Braves in 2008 and performed about as expected.
Kotchman was a prime example of an experienced player who performed well enough to keep his job but never really stood out. Kotchman only appeared in 130 games with the Braves across two seasons.
Casey Kotchman was in the big leagues for 10 total seasons. Half of that time he was with the Angels organization. Atlanta was the only other team he spent more than one season with.