In September 2018, following the appointment of François de Rugy to the government, Goulet announced her candidacy to succeed him as president of the National Assembly; the position instead went to Richard Ferrand.Présidence des députés LREM : 10 candidats sont en lice pour remplacer Ferrand Le Parisien, 13 September 2018. She later endorsed Amélie de Montchalin as a candidate to succeed him as chairman of the LREM parliamentary group; instead, the position went to Gilles Le Gendre.Loris Boichot (14 September 2018), Qui sont les sept macronistes qui veulent diriger les députés LaREM après Ferrand ? Le Figaro. In July 2019, she challenged Le Gendre for the group's leadership; Le Gendre was subsequently re-elected in the first round, with Goulet coming in fourth out of seven candidates.Gilles Le Gendre reste président du groupe macroniste à l’Assemblée nationale Le Monde, 23 July 2019.
