The Copa America holders fell to a 3-0 defeat to Brazil on Wednesday, which saw them finish sixth in the 10-team CONMEBOL standings.
As only the top five either qualify for the finals or the playoffs, the result meant that La Roja will not be going to Russia next year.
Carla Pardo took to Instagram to write: "Thank you for all the beautiful moments my choice. Thank you Captain America for all that I have experienced. It was really beautiful.
"But when they put on the shirt, it has to be with professionalism. I know that most of them bust their asses, while others were leaving parties and even did not train from the drunkenness they were carrying.
"If the shoe fits, wear it, and stop crying. Because now the whole country is crying. Waiting for you my captain with open arms."
Brazil, Uruguay, Argentina, Colombia and Peru finished in the top five of the table.