Both the Holy Qur’an and the Blessed Injeele agree that Hazrat Isa ( ع ) is called the Servant.

إِنْ هُوَ إِلاَّ عَبْدٌ أَنْعَمْنَا عَلَيْهِ وَجَعَلْنَاهُ مَثَلاً لِبَنِي إِسْرَائِيلَ
“He is only a servant we gave blessings. We made him a proverb for the people of Israel.”
Holy Qur’an | Al Zukhruf 43:59
قَالَ إِنِّي عَبْدُ اللَّهِ آَتَانِيَ الْكِتَابَ وَجَعَلَنِي نَبِيًّا
He said, “I am Allah’s servant. He has given me the book and made me a prophet.
Holy Qur’an | Mariam 19:30
لَنْ يَسْتَنْكِفَ الْمَسِيحُ أَنْ يَكُونَ عَبْدًا لِلَّهِ وَلاَ الْمَلاَئِكَةُ الْمُقَرَّبُونَ وَمَنْ يَسْتَنْكِفْ عَنْ عِبَادَتِهِ وَيَسْتَكْبِرْ فَسَيَحْشُرُهُمْ إِلَيْهِ جَمِيعً
The Messiah will not disdain to be a servant of Allah, nor will the angels who have been brought near. Allah will gather everyone who proudly disdains his service.
Holy Qur’an | Al Nisa 4:172
ἀλλὰ ἑαυτὸν ἐκένωσεν µορφὴν δούλου λαβών, ἐν ὁµοιώµατι ἀνθρώπων γενόµενος· καὶ σχήµατι εὑρεθεὶς ὡς ἄνθρωπος
… but emptied himself by taking on the true nature of a slave, by looking like other men, and by sharing in human appearance.
Blessed Injeel | Philippians 2:7
Some thoughts
The Holy Qur’an and the Blessed Injeel agree that Hazrat Isa ( ع ) was truly a Servant-slave.
Actually he is also called “Only a Servant” in Al Zukhruf 43:59 and “Prophet” in Mariam 19:30.