Duck President first appeared in "You're Getting Old" and was believed to be an imaginary animal. However, in "Ass Burgers" Duck President is shown to be real.
Lame Duck is usually a term used in politics for a politician that has not kept the promises made to the voting public and would most likely be replaced with another viable candidate in the next election. Therefore, Duck President is most likely a political statement in reference to President Obama.
Appearance
The Duck President is a duck with an orange bill that wears a black suit. Everything the Duck President says comes out as feces, which could be analogous to some political views towards the United States' current president, Barack Obama.
Images of Duck President
The duck with feces on its head in "You're Getting Old".
Duck President as seen in "Ass Burgers".