The demand was made by the European Evangelical Alliance.
The Finnish politician could possibly be sentenced to two years in prison for a Tweet.
An MP in Finland is facing jail over a social media post that included a quotation from the Bible.
Mrs Räsänen has served as an MP since 1995, was chair of the Christian Democrats from 2004-2015
Paivi Rasanen is the author of a booklet promoting the Christian concept of relationship between men an women.