All Praise be to Allah who is the Lord of the Worlds, and may Endless Blessings be showered upon His Most Beloved, and Final Messenger of Islam, Hadrat Muhammad Mustafa Salla Allahu ta'ala 'alayhi wa 'aalihi wa Sallam
You can pray waza'if that you know before tulu', and ghurub, but not at adhan time. You must remain silent then.
At the time of tulu' it is ja'iz to pray waza'if, however after ghurub, you may pray anything you wish. This excludes time for zawal, as previously mentioned. If other times can be found then it is better to pray Qur'an sharif then, otherwise any waza'if, tasbih, tahlil, takbir, tamjid is admitted.
Jazak'allah for your question.
Wallahu A'lamu Biththawaab
M. Waseem Ashrafi
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