Wa `alaykum As-Salamu waRahmatullahi wa Barakatuh.
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
Dear questioner, we would like to thank you for the great confidence you place in us, and we implore Allah Almighty to help us serve His cause and render our work for His Sake.
In his response to the question, Sheikh Muhammad Saleh Al-Munajjid, a prominent Saudi Islamic lecturer and author, stated:
Surat Al-Kahf may be read during the night or the day of Jumu`ah. The night of Jumu`ah starts from sunset on Thursday, and the day of Jumu`ah ends at sunset. Therefore, the time for reading this Surah extends from sunset on Thursday to sunset on Friday.
Allah Almighty knows best.