It is not permissible
to recite a Surah before reciting Al-Fatihah in Salah because this disagrees with the authentic Sunnah (whatever is reported from the Prophet) reported from the Prophet (peace be upon him). He (peace be upon him) used to say Takbirat Al-Ihram (saying: "Allahu Akbar [Allah is the Greatest]" upon starting Prayer), then he recited Du‘a’-ul-Istiftah (opening supplication when starting the Prayer), then said Isti‘adhah (saying: "A‘udhu-Billahi mina Al-Shaytan-ir-Rajim [I seek refuge with Allah from the accursed Satan]”), then Tasmiyah (saying, "Bismillah Al-Rahman, Al-Rahim [In the Name of Allah, the Most Gracious, the Most Merciful]"), then recited Surah Al-Fatihah, then he and those led by him in Salah said, “Amen” in the Jahri Salah (Prayer recited out loud). Then he read what he could of the Qur’an in the first two Rak‘ahs of four-Rak‘ah Salah (Prayer consisting of four units), in Salah Al-Maghrib (Sunset) and Salah Al-Fajr (Dawn). The Prophet (peace be upon him) taught us, saying:
“Pray as you have seen me praying.”
The Prophet (peace be upon him) also said:
“Anyone who does an action which is not in accordance with this matter of ours (Islam) will have it rejected.”
Allah (Exalted be He) commanded His servants to follow the Prophet (peace be upon him) saying:
Indeed in the Messenger of Allâh (Muhammad صلى الله عليه وسلم) you have a good example to follow.
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.