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There has been widespread media speculation that Mbappe will move to Real Madrid. Mbappe did not mention the Spanish champions in his video but confirmed he would leave France.
Hummels headed home from a corner five minutes into the second half to send the Germans, who won the title in 1997, into their first final in Europe's top club competition since 2013.
PSG, fresh from being crowned Ligue 1 champions and desperate to win their first ever Champions League trophy, found it hard going against a disciplined German defence, especially in the first half with forward Kylian Mbappe largely neutralised.
PSG will face Borussia Dortmund in the semifinals after the Germans beat Atletico Madrid.
PSG came into the match unbeaten in their last 27 games in all competitions but were undone by a fired-up Barcelona side looking to return the club to the summit of European football.
Zaire-Emery became the youngest ever French goalscorer in the Champions League at 17 years and 280 days.
City started their title defence by coming from behind to beat Red Star Belgrade 3-1 at home.
The 24-year-old French captain, who still has one year remaining on his contract, is unwilling to renew his contract with PSG.
Ugarte is PSG's third new recruit in the close season after they signed centre-back Milan Skriniar and forward Marco Asensio on free transfers.
PSG face the dilemma of allowing Mbappe to run down the final year of his contract and being unable to recoup any of the 180 million euros ($195.71 million) they spent in 2017 to sign him from AS Monaco.
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