All perfect praise be to Allah, the Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad is His slave and Messenger.
The miracles that happened at the hands of ‘Eesa (Jesus), may Allah exalt his mention, happened with Allah’s permission and predestination; Allah is the actual doer of those miracles. The supplication was from ‘Eesa, may Allah exalt his mention, and the answer (of the supplication) was from Allah.
Allah said on the tongue of ‘Eesa, may Allah exalt his mention, (what means): {Indeed I have come to you with a sign from your Lord in that I design for you from clay [that which is] like the form of a bird, then I breathe into it and it becomes a bird by permission of Allah. And I cure the blind and the leper, and I give life to the dead - by permission of Allah.} [Quran 3:49]
At-Tabari said in his Tafseer (Quran exegesis), "With regard to the interpretation of the saying of Allah: {…and I give life to the dead - by permission of Allah. And I inform you of what you eat and what you store in your houses.}; Abu Jaafar said about it, 'Jesus giving life to the dead was by supplicating Allah; he supplicates Allah for them and Allah responds to him (by accepting his supplication).'"
Ar-Raazi said in his Tafseer, "As for Jesus, may Allah exalt his mention, he was distinguished in this world because his supplication was answered; he gives life to the dead and he cures the blind and the lepers because of his supplication."
Al-Khaazin said in his Tafseer, "Wahb said, 'Perhaps up to fifty thousand sick people would seek ‘Eesa, may Allah exalt his mention, in one day; those who were able to walk to him walked; and those who were not able, then ‘Eesa would walk to them, and he used to treat them by supplicating Allah (for them) on condition that they believe in his message."
Allah knows best.