“I would like to thank the club for the confidence they have shown in me. It’s been three unforgettable years.
“It’s about how I live with my profession, with a never-ending quest for solutions and to improve my team. That means I have very little time to rest, very few hours to disconnect.
“I think it will be good for me at the end of the season, because I need to rest. That’s the principle motive.
“The most important thing is we have three exciting months left in all three competitions. In one of them, we are in a difficult situation but if the stars align, we will have a chance to turn it around.”
Barca’s win over Sporting took them to the top of La Liga, one point clear of Real Madrid, who have a game in hand. They face Alaves in the Copa del Rey final on 27 May.
Former Spain midfielder Enrique featured for Barcelona between 1996 and his retirement from playing in 2004.
He then coached their B team from 2008 to 2011, returning to the club as first-team boss after spells managing Roma and Celta Vigo.
Former Barca coach Pep Guardiola paid tribute to his ex-Nou Camp team-mate.
“I have two reactions, as a supporter,” Guardiola said after his Manchester City side’s 5-1 FA Cup win over Huddersfield.
“I am sorry it is the club of my heart. I am so sad because we will miss the perfect trainer for Barcelona, from his personality and his character.
“His three years he played unbelievable football, with unbelievable players. I am like a fan with a membership of Barcelona. I can say thank you for all he has done in his three years at my club.”
Club president Josep Maria Bartomeu said: “Luis Enrique has brought us great success and he can still bring us more. The players are motivated to do it.
“We accept Luis Enrique’s decision. He has been a great coach. Now it is time to end his spell in the best possible way.”
Analysis – Koeman or Laudrup for the job?
“This could be a good moment – it could be a stimulation for the team, a release. When we are watching Barcelona we are watching a team that is losing its essence. Luis Enrique is losing control of the team – the midfield especially. What remains of Pep Guardiola’s team seems smaller and smaller every day.
“Barcelona is a big club and I’m not sure Enrique was a coach for many, many years. He’s explosive. He expends a lot of energy.
“Jorge Sampaoli has brought something exceptional to Sevilla, but I don’t think he is the appropriate man for the club because he doesn’t know FC Barcelona. A Ronald Koeman or a Michael Laudrup would be more appropriate because they know the philosophy of the club.”