The French full-back left Catalans at the end of 2019 and had a stint with Toronto Wolfpack before switching to Wakefield in July last year.
Gigot, 30, made a handful of appearances but Wakefield have agreed to bring an early conclusion to a deal that was supposed to run until the end of this year.
A statement on Wakefield’s website said: “Wakefield Trinity can confirm that Tony Gigot has left the club by mutual consent.
“The 30-year-old was suffering badly with homesickness, especially during the Covid-19 pandemic.
“Gigot played seven times for Trinity, scoring one try. The club wish Tony all the best for the future and thank him for his efforts in the red, white and blue.”
Listen to The Final Hooter podcast, featuring exclusive interviews, every week. SUBSCRIBE to Love Rugby League on Apple Podcasts.