Speaking after the 1-0 win over Crystal Palace on Saturday, Liverpool boss Jurgen Klopp said the situation is "not too easy for anybody", with Coutinho out of action due to a back problem.
Compatriot Ederson made a big-money move of his own in June, when he joined City from Benfica for £34.7 million, and he feels the player's preference should hold sway.
"I think Coutinho has to choose the best for him. It is not the club that decides for him, the final decision is his," Ederson told Omnisport.
"I hope he makes the best choice, and I hope he continues to be the player of last season, which was exceptional, and he continues to evolve to reach a higher level."
The 24-year-old has credited the presence of countrymen Fernandinho, Gabriel Jesus and fellow new arrival Danilo with easing his introduction to life in England.
"It's a very challenging style of football," he said of the Premier League. "It's a bit different from Portuguese football. But I am adapting well, the group welcomed me very well.
"The Brazilians have helped me a lot. I only feel a little difficulty with the language because, as a goalkeeper, I have to have a good communication with my team.
"But gradually I will get better and I only want to bring good things for the club."
Claudio Bravo has started the campaign as Ederson's understudy following an error-strewn debut season in England that persuaded City to make their new man the world's most expensive goalkeeper – something he concedes does bring added pressure.
"I do not get too dazzled by the transfer fee," he added. "It could be €10m or €15m and it would be no different.
"But, of course, you suffer more pressure. Many people look forward to my work, and I hope to live up to expectations and work at a high level."