Zikr after Salah
To make Zikr after Salah is mentioned in the Quran. Allah Ta’ala says,
“When you have finished As-Salât, remember Allâh standing, sitting down, and lying down on your sides..” [Quran 4:103]
To recite Tasbeehat (pl. Tasbeeh) and Azkar (pl. zikr) after Fardh Salah is Mustahab, agreed by the scholars. However, according to the majority scholars to recite it after the Sunnats or after Fardh before the Sunnats there is no problem.
Uqbah ibn Amir (RadhiyAllahu Anhu) narrates:The Apostle of Allah (Sallallahu Alaihi Wasallam) commanded me to recite Mu’awwidhatain (the last two surahs of the Qur’an) after every prayer. (Abu Dawud, Kitabus Salah)
Abu Hurairah (RadhiyAllahu Anhu) reported: The Messenger of Allah (Sallallahu Alaihi Wasallam) said, “He who recites after every prayer: Subhan-Allah (Allah is free from imperfection) thirty-three times; Al-hamdu lillah (praise be to Allah) thirty-three times; Allahu Akbar (Allah is Greatest) thirty-three times; and completes the hundred with: La ilaha illallahu, wahdahu la sharika lahu, lahul-mulku wa lahul-hamdu, wa Huwa `ala kulli shai’in Qadir (there is no true god except Allah. He is One and He has no partner with Him. His is the sovereignty and His is the praise, and He is Omnipotent), will have all his sins pardoned even if they may be as large as the foam on the surface of the sea.” (Muslim).
Fudalah ibn Ubayd (RadhiyAllahu Anhu) narrates: The Apostle of Allah (Sallallahu Alaihi Wasallam) heard a person supplicating during prayer. He did not mention the greatness of Allah, nor did he invoke blessings on the Prophet (Sallallahu Alaihi Wasallam). The Apostle of Allah (Sallallahu Alaihi Wasallam) said: He made haste.
He then called him and said either to him or to any other person: If any of you prays, he should mention the exaltation of his Lord in the beginning and praise Him; he should then invoke blessings on the Prophet (Sallallahu Alaihi Wasallam); thereafter he should supplicate Allah for anything he wishes. (Abu Dawud, Kitabus Salah)
It has been narrated by Yazid ibn Sa’id al-Kindi (RadhiyAllahu Anhu) that When the Prophet (Sallallahu Alaihi Wasallam) made supplication (to Allah) he would raise his hands and wipe his face with his hands. (Abu Dawud, Kitabus Salah)