"It is the first opportunity I have had to work with Nikita in person and I am delighted to have her on camp with us," England Women's interim head coach Riise said.
"It is a good opportunity to watch her closely like I have been with all the other players who have joined up on camp and to have her available for selection against two tough opponents."
Parris, who was originally absent from the squad, has been cleared to join up with the rest of the England squad at St.George's Park ahead of the two upcoming internationals against France and Canada.
The former Manchester City forward was left out of the squad amid a COVID-19 outbreak within the Lyon squad with the UEFA Women's Champions League titleholders confirming they had 10 positive cases.
Following the outbreak Lyon's Champions League quarterfinal second-leg match against Paris Saint-Germain was pushed back to a later date.