Answer
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
There is nothing wrong with making duaa for the recovery of Coronavirus non-Muslim patients.
Answering your question, the European Council for Fatwa and Research, states:
Some Muslims, erroneously think that adopting the Islamic ethics should be observed only when dealing with Muslims. This misconception contradicts the true concept of Islam.
Islamic ethics are applicable when dealing with all people. Prophet Muhammad (peace be upon him) says: “And behave decently towards people.” (At-Tirmidhi)
Humane attitudes towards non-Muslims e.g. prayers, being merciful and all types of help are not only permissible but will also be rewarded, please God.
Prayer is a type of the kind attitude mandated by Islam as stated in the Quran and Sunnah.
The Muslim scholars consensually state that it is permissible to make prayers of health and recovery for non-Muslims.
In a hadith narrated by Anas, the Prophet says: “None of you is a true believer unless he wishes his brother what he wishes himself.” (Al-Bukhari and Muslim)
In this hadith, the term brother refers to Muslims and non-Muslims. Muslims as much as they wish themselves health and recovery they wish their non-Muslim brothers health and recovery.
In his book Dalil Al-Faliheen Lituruq Al-Saliheen, Ibn Al-Imad states “It is better to understand the term brother as a general term so that it includes nonbelievers. Then a Muslim wishes his non-believing brother what he wishes for himself.”
Almighty Allah knows best.
Source: https://www.e-cfr.org/