Allied Pilots Association spokesman Gregg Overman said Horton believes the carrier should pursue a merger after it completes its restructuring.
"The union leadership will give Mr. Horton's presentation due consideration," Overman said. The APA ratified a new contract with American last Friday.
He added that the pilots union will invite US Airways chief executive Doug Parker to make a similar presentation to the union board. The APA has publicly supported a merger with US Airways and signed a conditional labor agreement with the Tempe-based carrier in April.
American spokesman Michael Trevino gave few details of Horton's meeting with the pilots union board.
"We met with our pilot union to thank them for their leadership in reaching a new agreement, discuss the next steps in our evaluation of strategic alternatives and exchange information and thoughts about how to continue the positive momentum we are creating for our people and our customers," Trevino said.