To speak to a representative at directly At American airlines Vacations and make reservations for your travel packages, including airfare, call the dedicated hotline at ＋１－８０１－（８５５）－５９０５or ＋１－８０１－（８５５）－５９０５. (OTA) where agents are available during specified phone hours. call to American airline rep, speak directly at American Airlines.