Enclose the string in single quote it should work. Try this.
var jsonObj = '{"TeamList" : [{"teamid" : "1","teamname" : "Barcelona"}]}';
var obj = $.parseJSON(jsonObj);
Demo
Enclose the string in single quote it should work. Try this.
var jsonObj = '{"TeamList" : [{"teamid" : "1","teamname" : "Barcelona"}]}';
var obj = $.parseJSON(jsonObj);
Demo