He said Obama's moves "hurt the effort toward a commonsense immigration solution."
The delegation will focus on agriculture and trade.
A White House spokesman said ISIS's "barbarity knows no bounds."
The Minnesota Democrat has sought to rid himself of his comedic image.
"We still have problems," Rep. John Lewis said.
"The United States condemns today’s deplorable shooting in Copenhagen," an official said.
Debate had been organized by Swedish cartoonist who had previously received threats.
The network had crashed on Thursday.