No they do not, the AHL or American Hockey League is the minor league of the NHL or National Hockey League.
It is a league that has many different branches, theres a junior league, western hockey league, and so on, but the main league is the national hockey league which is composed of 30 teams.
American League teams play the National League teams for four series per season, in what is called "interleague play." also, in the World Series, an American League team plays a National League team.
Currently there are no National Hockey League teams in Arkansas.
Currently there are 30 teams in the NHL.
There are 14 teams in the American League. There are also 16 in the National League.
Major League Baseball, the National Basketball Association, the National Football League, and the National Hockey League
There are 30 Major League Baseball teams. American League - 15 National League - 15
The Boston Bruins and Buffalo Sabers are teams in the National Hockey League. Additional National Hockey League teams include the Blackhawks (Chicago Blackhawks), Blue Jackets (Columbus Blue Jackets) and Blues (Saint Louis Blues).