It is recommended to say qunut in all prayers if a calamity befalls the Muslims – and refuge is sought from Allah (regarding that). It is recommended to say qunut in Subh at all times. And the clarification that it is to be said after raising the head from bowing in the final rak`ah, and it is recommended to say it out loud
وَحَدَّثَنِي عَمْرٌو النَّاقِدُ، وَزُهَيْرُ بْنُ حَرْبٍ، قَالاَ حَدَّثَنَا إِسْمَاعِيلُ، عَنْ أَيُّوبَ، عَنْ مُحَمَّدٍ، قَالَ قُلْتُ لأَنَسٍ هَلْ قَنَتَ رَسُولُ اللَّهِ صلى الله عليه وسلم فِي صَلاَةِ الصُّبْحِ قَالَ نَعَمْ بَعْدَ الرُّكُوعِ يَسِيرًا .
Muhammad reported: I asked Anas whether the Messenger of Allah (ﷺ) observed Qunut in the dawn prayer. He said: Yes, (he did so) after the ruku', for a short while.