Night prayers and the number of rak`ah offered by the Prophet (ﷺ) at night, and that Witr is one rak`ah, and a one-rak`ah prayer is correct
وَحَدَّثَنَا ابْنُ أَبِي عُمَرَ، حَدَّثَنَا سُفْيَانُ، عَنْ زِيَادِ بْنِ سَعْدٍ، عَنِ ابْنِ أَبِي عَتَّابٍ، عَنْ أَبِي سَلَمَةَ، عَنْ عَائِشَةَ، عَنِ النَّبِيِّ صلى الله عليه وسلم مِثْلَهُ .
A hadith like this has been narrated by 'A'isha by another chain of transmitters.