QUEBEC (AP) _ President Reagan announced today that he intends to nominate Faith Ryan Whittlesey as ambassador to Switzerland. If confirmed, it would be the second time she has served in the post.

Mrs. Whittlesey was ambassador to Switzerland from 1981 to 1983, and most recently has worked as an assistant to the president for public liaison.

Reagan made the announcement during his two-day summit with Canadian Prime Minister Brian Mulroney.

Reagan also announced his intention to nominate Fernando Enrique Rondon as ambassador to Ecuador. From 1980 to 1983, Rondon was ambassador to Madagascar and has since been a director of the office of Andean affairs in the State Department.

The president also said he intends to appoint Jack L. Courtemanche as executive director of the national White House Conference on Small Business. Courtemance has been serving as the deputy assistant to the president for public liaison.