now don't tell you mother or grandmother but the answer is no. going from a warm work-out area to the cold air is not going to cause illness so you can stop worrying about being sued. it is an old and medically-disproven belief that cold air drafts or chills lead to illness. if that were true think of all the aleuts laplanders and siberians. you would think they would be sick all of the time. as a matter of fact many are healthier. the finish and swedes even bake themselves in a sauna and then run out and roll in the snow or jump in an ice lake. crazy? maybe but the practice is harmless. they feel that it is is healthy. maybe they are correct. as a wrestling coach your contaminated mats are much more of a health hazard so before those boys head for the locker room make them disinfect those mats and make them take their work-out clothes home to be properly washed.
can athletes get sick going outside immediately after working out? . i coach a college wrestling team. two days a week the athletes are not permitted to walk from the practice room thru the weight room and into the locker room instead they have to walk outside and around to a side door and then walk into the building then finally to the locker room. is this a health risk? i dont want to be sued for putting my athletes at risk but i would need medical documentation to prove this is hazardous to the college.