Parker has been named to the Mets' 60-man player pool, Tim Britton of The Athletic reports.
Parker signed a minor-league contract with the Mets on Thursday that includes an invitation to spring training.
Parker was sent outright to Triple-A Salt Lake on Wednesday.
Parker was designated for assignment by the Angels on Saturday.
Parker is out of the lineup for Sunday's game against the Astros, Rhett Bollinger of MLB.com reports.
Parker was called up by the Angels on Wednesday.
Parker (oblique) is starting in right field for Triple-A Salt Lake on Saturday, Fabian Ardaya of The Athletic reports.
Manager Brad Ausmus said Parker is dealing with an oblique injury, Rhett Bollinger of MLB.com reports.
Parker went 2-for-2 with a two-run home run, a walk and two runs scored Monday against the White Sox.
Parker signed a minor-league contract with the Angels on Thursday, Jon Heyman of FancredSports.com reports.