Ivorian Football Federation president Idriss Diallo confirmed the appointment on Monday, but did not disclose the length of Fae’s contract.
“Emerse was until now interim coach and has just been confirmed as full coach,” Diallo said.
On Tuesday, Gasset was confirmed as Marseille’s new manager after the French Ligue 1 club sacked Gennaro Gattuso.
Meanwhile, Liberia have appointed former Malawi coach Mario Marinica as their boss on a two-year deal ahead of the start of their 2025 Nations Cup qualifying campaign.
The Lone Stars will face Djibouti in a two-legged preliminary round tie next month.
The winners of the four preliminary ties will join the 44 highest-ranked African sides in the main qualifying draw for the 2025 finals, which will be held in Morocco.
The dates for the 2025 tournament are yet to be announced amid a potential clash with the Fifa Club World Cup in June and July next year.