The defending champions have been knocked out of the tournament with a game to spare in their Group B campaign, and Del Bosque insists that the choice he makes will be for the benefit of the team rather than for personal reasons.
"We are still competing, so I don't think this is the moment to speak about my future, but I will do what is best for everyone," the 63-year-old told reporters.
"I want to repeat that I don't want to be a hindrance to the Spanish Football Federation. The good of Spanish football should [come] above all personalities.
"I want to try and act correctly with the Federation, which has always treated me well. If I am a problem for our football, I will go. The interests of the national team and the Federation will rank above my own interests when I make my decision."
Spanish Football Federation's director of football Jorge Perez is hopeful that Del Bosque will remain in charge.