I've had those people and they can be TOUGH. In fact, they're the ones who inspired me to use hot stones in every massage (at least to some extent, and minus those who are contraindicated, etc). Usually the tighter someone is, the less they can feel, though this isn't a hard & fast rule. Here's how I handle it, your mileage may vary
First, before applying any oil, I do myofascial release (the gentle sustained stretching kind). This at least releases what I call the "gatekeeper" layer (if you don't release this layer, you won't get through to the muscle properly). This is time-consuming, but worth it. Do explain what you're doing and why, or they will get a little impatient, because to them it doesn't SEEM like you're doing anything constructive. Next, use a little heat, unless they're contraindicated for heat (the injury is acute, there's evidence of inflammation, etc etc). Then, I'd do what others have suggested, working superficial to deep. As I progress through the layers and apply more pressure, I slow my speed accordingly. I might finish that segment with assisted/resisted stretching of that area, if possible.
I also find that without fail, most of the people who present to our studio this way usually have a combo of the following going on: 1) they drink diet soda. The artificial sweetener breaks down into formaldehyde in the body and it interferes with the neuromuscular loop. These people will feel tight all the time and be very hard to massage. 2) They're on a prescription drug or five. Many of these drugs ALSO interfere with the neuromuscular loop. These people will also have increased nociception (ability to feel pain), and be very hard to massage. 3) They're not drinking enough water. Lack of water will make muscles dehydrated, making them feel tight and ropy, and these people will also usually feel stiff and sore. I find that most ppl who are like this have at least 2, if not all 3, of these things.
I DO give them this information and, with careful wording, I tell them that they definitely want to start replacing the diet sodas with water (even if it's a slow transition--slow is better than temporary
) and that if possible, they might want to think about working with their MD to reduce the amount of meds they have to take, saying that there are many natural herbs and other methods out there that can often be used in conjunction with the meds and perhaps minimize their dosage, and that if their current MD isn't open to natural methods that they might want to find one whose education is more current and mind more open. And I offer them 3 referrals (should give them at least 3 names and have them pick).
Depending on their situation (how tight they are and what their symptoms are) I might insist they see a chiropractor because much of chronic muscle tightness is a neurological problem (especially if it involves the decreased ability to feel pressure) and chiros are best at restoring proper nerve function, whether it's to muscles or organs.
Of course, how far you can go with referring or recommending depends on your state laws, and proper wording and delivery is pretty paramount to staying out of trouble
Never overstep the scope of practice!
Sorry this got so long, I really hope it helps
Above all, save your hands! Do NOT work any harder than is healthy for you; recognize your own limitations. Also, a gem of an instructor once told me, "only work as hard as your client is willing to work", meaning that if they're not going to do the things you recommend, schedule consistent and regular sessions, and whatnot, don't assume responsibility trying to "fix" them, because ultimately, their health is their own responsibility.
Hugs,
~Jyoti