The former Sweden international completed a transfer to Major League Soccer outfit LA Galaxy from Manchester United last week.
Ibrahimovic scored 28 times in all competitions last season to help the Red Devils to win the Europa League and the League Cup last term.
The 36-year-old netted two goals in a dramatic 3-2 win over Southampton in the League Cup final at Wembley.
Ibrahimovic fell behind summer signing Romelu Lukaku in the pecking order at the start of the 2017-18 Premier League season.
The Belgian striker has kept Ibrahimovic out of the team since his return from a long-term knee problem, although the Swedish legend has struggled with fitness problems.
Mata opened up about the experience of sharing a dressing room with one of the most prolific strikers over the past decade or so.
“Last week we bade farewell to Zlatan Ibrahimovic, who will continue his career in the LA Galaxy,” Mata wrote on his personal blog.
“It’s been a privilege to share the dressing room with one of the best strikers of the last 15 years, a footballer with a special personality on and off the pitch, who has played in different leagues and always in big clubs.
“Good luck in the MLS, Zlatan, I’m sure that you will keep scoring goals and enjoying football for a long time. ”
Manchester United finished in sixth place in the Premier League last term but qualified for the Champions League thanks to their Europa League triumph.
The Red Devils lost 2-1 to Spanish side Sevilla in the Champions League round of 16 earlier this month.
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