Despite statements from Square Enix representatives about their desire to make a Chrono Trigger remake, there has been no specific information yet. However, an unofficial but authoritative source assures: it's better to ask for something else, because the Chrono Trigger remake is already being created.
Insider John Harker wrote on the ResetERA forum:
Chrono is already in development. Let's ask for something else, like Triangle Strategy 2 or a real sequel to Final Fantasy Tactics.
The insider did not reveal details. It is unclear whether this will be an HD-2D remake or a project in the spirit of Final Fantasy Tactics. There is no official confirmation yet.
It remains to wait for an announcement from Square Enix and news.