I am not 100% sure on this info but this is what I have been able to gather from various sources such as calgaryflames.com CP, listening to various interviews, twitter feeds etc.
The Flames strength and conditioning coach is Ryan Van Asten, he was previously with the LA Kings and won 2 Cups. He is supposed to be one of the best in the business and recently some videos have been put up on Calgaryflames.com
I know that some players such as Ferland, Klimchuk and others have stayed in Calgary the last few seasons working out with Van Asten, shows dedication and I suspect the training is free. The teams coach also gets every player set up with an off-season program including videos and other information.
Players like Sam Benett and Dennis Wideman have worked out previously with Andy O'Brien who has been Crosby's trainer for years and I believe is originally from Calgary. He has developed quite the following over the years with NHL players and runs an annual high altitude training camp in Vail, Colorado.
When Matt Stajan was traded to Calgary he hired Gary Roberts and worked out with him along with some other players such as Stamkos.
Training is the responsibility of the player but I have a feeling that this may change in the future. Teams are investing so much money in these players and they aren't around to see what type of advice is being offered so this may be an avenue the wealthier teams pursue to train and gain an edge.
Saw this video last year on Players Tribune. Enjoy!
http://www.theplayerstribune.com/pre...ing-nhl-video/