Gareth Taylor confirmed Khadija 'Bunny' Shaw has returned to Manchester City training, having missed Thursday's League Cup semi-final victory over Arsenal after suffering racist and misogynistic abuse.
City reported abuse directed towards Shaw to the police following their Women's Super League defeat to Arsenal last Sunday.
Greater Manchester Police told Sky Sports News their "investigations are ongoing".
Following Thursday's 2-1 win over Arsenal, Taylor admitted he hadn't had a "good conversation with [Shaw] about [the abuse] but she knows and needs to know that the whole club are behind her".
On Friday, Taylor revealed he had spoken to the Jamaican striker, who has scored 86 goals for City, and condemned the abuse as unacceptable "in any walk of life".
It remains unclear whether Shaw, 28, will be available for selection when Manchester City take on Leicester in the FA Cup on Sunday.
When asked whether he had spoken to Shaw in his press conference, Taylor said: "Look, I think we covered it last night on the briefing before the game and afterwards I took questions on it. The situation is the situation, the decision was the decision.
"Bunny's back with us today. She's okay and trained with the team, which is good, so that's it. I've spoken to her. Respectfully, I'm not going to share that.
"I don't think we want to give any more air time to this really bad issue she's had to suffer with. There's no place for it at all in...I was going to say in the game, but in any walk of life. Anyone saying the opposite of that, there's just no place for it at all in anything we do.
"It's not acceptable; never will be and never should be. We'll support Bunny in the right way, whatever that support looks like.
"Unfortunately at the moment, it seems there is a platform for certain people to be able to come with those comments. How we deal with that, I really don't know.
"All I care about is the players I work with. We really care about Bunny Shaw and every single player we have at this club."
Kick It Out chief operating officer Hollie Varney told Sky Sports News:
"We're really disgusted and appalled to see the abuse that Khadija Shaw has experienced.
"This isn't a new realm in terms of online abuse for players in prominent positions, but now what we're seeing is that shift into the women's game as the profile of players in the game grows.
"When it comes to dealing with online abuse that's the bit that's really important for us. Firstly, we hope that Khadija is receiving the right support to help her through this journey that she's on.
"But when it comes to actually dealing with the abuse that we're seeing across the game, the Online Safety Act is due to come into enforcement next month and that means Ofcom have powers to deal with social media companies as and when abuse happens and ensure that they're actually doing something about it."
Manchester City boss Pep Guardiola was also asked about Shaw and the racist abuse she has received
"We would be lucky if this was just in world football. Unfortunately it's in the whole entire world," Guardiola said.
"Look to the politicians. What they say about this country is better than the other ones, or the other ones are not important, and all the people have to live [like this].
"Unfortunately it is all around the world, and football is another expression; not just for the fact that you are a woman, or you are a different skin colour and that makes you better - it's really more difficult for me to understand that people can defend these stupid things.
"I support her, like I support all people who receive abuse in terms of racism, gender."
A PFA spokesperson said on Friday: "Online abuse and threats have real-life consequences. Footballers, like anyone who receives abuse through social media, are human beings.
"Players have spoken before about the serious harm that abuse has on them and those close to them, both in their personal and professional lives.
"We continue to offer all our members support, both in terms of their well-being but also in identifying and reporting those responsible for abuse, who must be properly punished."