"As the English say, 'There's more to come!' If only you knew what we have planned for next season", he said on German TV show Doppelpass.
Zidane was in the frame to be Manchester United's permanent manager before he confirmed his return to Real.
Solskjaer, 46, became United caretaker-manager in December when he replaced the sacked Jose Mourinho and has won 14 of 19 games in all competitions since.
The Portuguese boss often dropped the France star from his starting line-up, and stripped him of his vice-captaincy in a public display of defiance.
Mane will have another four years left on his Reds contract at the end of the season, and Real's mild financial restraints mean that they will have to allocate their resources carefully in the transfer window to regenerate all the necessary areas of the squad. "It's one of the biggest clubs in the world", Pogba said, according to Goal.
"At the moment, I'm happy in Manchester".
Pogba is represented by super agent Mino Raiola, who was at the heart of his controversial exit from Juventus to United, with Real having thought they were getting their man.
Pogba now has just over two years remaining on his contract.
Under Solskjaer, United have reached the Champions League quarter-finals and propelled themselves into the top-four race in the Premier League.
"When a player is happy, he wants to keep being happy".
But Pogba wants the former United striker to remain in charge.
"This gave us the freedom to play and enjoy football again because maybe we lost that with the results that we had before".