Murray is still working with the rest of his team, including strength and conditioning coach Jez Green
Andy Murray says sacking coach Miles Maclagan came as a result of the pair differing in their view of his game.
The British number one announced an end to their working relationship on Tuesday after two-and-a-half years under his fellow Scot's guidance.
"It obviously was a hard decision and one that wasn't the nicest thing to have to take," said the 23-year-old.
"But it wasn't that tough to make up my mind because we were quite far apart in what we thought."
Murray will return to action for the first time since Wimbledon in the early hours of Friday morning, UK time, when he takes on American Tim Smyczek at the Farmers Classic in Los Angeles.
I need to have 100% confidence that everyone that's working with me believes it's the right thing to do
And he will do so without a coach after meeting with his part-time adviser, former Spanish professional Alex Corretja, and Maclagan in Miami earlier this month to discuss the best way forward.
"It wasn't necessarily something that Miles wasn't bringing," said Murray. "We had a chat when we were in Miami about how we saw things. We all saw things pretty differently.
"Between the three of us we obviously had different ideas and different ways of seeing things, what I felt was beneficial to me and what Miles and Alex felt was beneficial to me.
"I need to be comfortable in the set-up that I have - have 100% confidence that everyone that's working with me believes it's the right thing to do.
"The last few years have gone very, very well, but I want to try and get to number one in the world and try to win Grand Slams."
Murray reached two Grand Slam finals during his time with Maclagan but lost both to Roger Federer, and the defeat at the Australian Open in January hit him particularly hard.
A slump in form followed from which he is only just emerging, with his run to the semi-finals at Wimbledon giving encouragement in a year that has still to yield a title of any sort.
"It's easy to start over-thinking things and over-analysing things," said Murray. "I don't think there's a problem with my game.
"I just need to get better, and that's something that maybe hasn't happened the last four or five months.
"Hopefully by getting a new coach and a new coaching team in place, that will help me do that, and hopefully achieve my goals."
He added: "Now I feel good again. I feel confident after the way Wimbledon went. I kind of saw what the problems were, what I needed to do to get back to playing top-three, top-four tennis again. I addressed it."
Murray is the top seed in Los Angeles and he begins his build-up to the US Open, which starts on 30 August, when he takes on Smyczek at 0330 BST on Friday.
Highlights - Murray wins Wimbledon quarter-final (UK only)