The German Football Association (DFB) is looking into allegations of racism in Friday's Bundesliga match between Union Berlin and Bayer Leverkusen.
The alleged incident happened in the final minutes of the match after Union scored the 1-0 win against Leverkusen.
The control body of the DFB will now open investigations "at the beginning of the new week," the chair of the control body, Anton Nachreiner added.
He said that "in general" racism on the pitch is "an absolute no-go and will be punished accordingly if there is proof."
"He came to me in the dressing room," Amiri said on Saturday in a statement published by Bayer Leverkusen.
"Ugly words were uttered out of emotions, which he is very sorry about. He has given me believable assurance of that, therefore the matter is settled for me."
Union Berlin sporting executive Oliver Ruhnert, meanwhile, told a digital news conference on Saturday that he believes "it was a bit over-interpreted and we can't really assume it's a racist scandal."
Ruhnert said: "In the heat of the moment some things might have been perceived differently than they happened.
"And it's relatively difficult with racism for the player in question. We all know he is in a relationship with a woman who has a different skin colour than white.
"As far as I know, he never said [it]. The player said he never said it."
On their English social media accounts Union Berlin said they are "now waiting on the outcome of the investigation from the DFB" and distanced themselves from "racism and discrimination in football and in our society."