It's all luck, you get better dice rolls
(yes this is now D&D) I'm not sure if you have just read about people complaining, or actually watched a few videos. Either way, here's an informative video for everyone. After watching you and other might decide that it's just best to fire a few suppressing rounds back at them and hide. Thats what I do, mostly so they can't hit me either.
If the reason that some complain about it is that you can't go full auto and get someone form a distance, then it isn't suppression. It's their game play.
I always do short bursts on all full auto guns. Some might ask about LMGs and while they do get more accurate the longer you hold on, a lot of people try to use them outside of their intended purpose. You're not going to hit the guy very often in the other building across the street if your moving and trying to fire. Add in the suppression effect and you asking for death.
1) If I get suppressed (and I know they are not next to me) first thing I look for cover. I enlarge the mini map and this helps with killing the person that is suppression you a ton. Most people do not use a silencer and show they show up on the map.
2) If the fire is from long range (like a recon or being shot at from another flag) then hiding will be enough to get rid of the suppression.
3) If it is someone at the same flag or near where you are, look at the mini map to see where they are. Move from cover to cover until can get to them from behind.
4) I've been playing assault a lot recently to try and unlock things on the an-94. I always run with the nade launcher or smoke. If you are in the open with no where to hide and you know where the fire is coming from, launch some smoke or a nade round toward them to cover or scare them in to cover with the nade.
5) Never run around alone. I can't stress this enough. Having friendlies on the same flag as you is not what I'm talking about. Always be running with/around 2 or 3 friendlies. You may be getting suppressed, but one of them will not be (if you're running in a wide spread or they are a little behind you). You can run for cover and they will be able to take care of the person(s) making you blind with suppression.
6) When being suppressed, if your attacker is close, flank them. This is the best thing to do when being suppressed. Do not run in to it face to face or your asking to die.
Those are just some tips that always work for me. Obviously there are going to be some instances where your just out in the open and can't do anything about it. You're going to die but then suppression isn't the problem in that case.
Fwiw, I play very little on TS with my other friends and I do fine without voice communication. Best tip I can give is to think ahead. Be running near cover or something if you have to run in the open by yourself. But always run around with someone one from your own team whether they're in the same squad or not. If you find someone that works well with you and they have an opening in their squad (and your squad doesn't understand the meaning of working together), then switch. No reason submitting yourself to undo punishment when you can do something about it.
In worse case run away. The ticket that it costs your team for you dying is far more important then the objective your trying to take/defend (yes I play conquest, rush, and tdm and I still stand by that statement).
Suppression is to keep you from doing stupid stuff. Instead of fixing their game play, people complain that they can't do the stupid stuff they could before. I for one think DICE
fixed suppression post patch.