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The priest, who was shot at around 16h CET on Saturday, is in a serious condition.
The French Council of the Muslim Faith made the announcement amid a crackdown on extremism in the country, following the beheading of teacher Samuel Paty, who had shown pupils images of Mohammad.
The Paris prosecutor has opened an investigation for "attempted homicide of a person holding public authority".
Around two-thirds of respondents in France (64%), Germany (67%) and Italy (68%) agreed not sufficient action was being taken in Europe. UK respondents agreed but in lower numbers (57%).
Josu Urrutikoetxea led ETA during one of its bloodiest periods when its victims included children bombed to death while sleeping in a Zaragoza police compound