Giggs denied the allegations earlier after British media reported that he was arrested after an incident at his home.
“The Welsh Football Association and Ryan Giggs have reached an agreement that they will not participate in the next camp for international matches,” the Welsh Football Association said in a statement.
“Assistant coach Robert Page will take charge of the next three matches, against the United States, Ireland and Finland,” he added. The Welsh Football Federation will not issue any further comment at this time.
The Sun newspaper reported that police were summoned to the home of the former Manchester United player on Sunday evening after receiving reports of harassment.
The newspaper quoted a statement from the Greater Manchester Police: Police were called at ten and five minutes on Sunday evening after reports of harassment. A woman in her thirties suffered minor injuries but did not need treatment, a 46-year-old man was arrested on suspicion of committing an assault.
The newspaper said police have released Giggsbk on bail, pending further investigations.
Giggs representatives said on Tuesday that he was cooperating with the police, and added: Giggs denies all allegations of assault. He is cooperating with the police and will continue to assist them with the ongoing investigations.
On Tuesday, Wales was expected to announce its squad to face the United States, Ireland and Finland, but the Football Association said in the statement it would announce the squad on Thursday.