Is your dog motivated by food?
You said you managed to distract him a few times with chicken, before he realized where he was and got scared.
How about tempting him a short way onto the floor, giving him the chicken, and quickly leading him back out, then making a big fuss of him. He's out before he realizes it. If he's really reluctant, just start off with you standing on the 'slippery floor' but letting him stand outside the room and take the treat from you.
Make it quick, don't focus on him taking steps into the room, just let him come in, take his treat then get out without thinking about it.
Then slowly make him come further and further in. I would do this several times a day, every day. Any tempting morsel of food should do it. (he's a lab after all!)
Keep the sessions short, and always end on a positive note - so if he does get freaked out, take the training a step back, and just tempt him in a shorter distance to get the food - always let him 'win' at the end.
Over time (and I bet it wouldn't take long), you may be able to progress to placing the food in the room and telling him to go get it, then come back to you. Don't encourage him to run, as that could make him slip.
I would think trying this on a daily basis is better than resorting to expensive foot creams or having to adapt the room with rugs to suit him.
I agree with some of the criticism of Caesar Milan that you pasted above - but one thing I think he is correct on is that you shouldn't focus on, or reward, the fear behaviour. So if your dog is freaking out, don't make a fuss and carry on with the training.
Don't let this go on, it will get worse and your dog may have a phobia for life.
Let us know how you get on!