Estonia are managed by former Cymru manager Jarmo Matikaine.
Game is in preparation for the UEFA Women's Euro 2021 qualification campaign. Wales are second in Group C with the nex 2 games against the Faroe Islands and Norway in April.
"The news of the national team playing in Wrexham has really excited me. Having grown up in the area, I hope the fans turn up in their numbers and we inspire young girls to help the game grow in north Wales" – Elise Hughes