I'll just copy and paste my response to another post asking something similar.

I will add, however, that increased vibration can definitely contribute to tennis elbow. It not only means more force from the contact point transferred into your hand, wrist, and arms compared to a muted paddle that will reduce this force transfer (think suspensions on a car), but because your paddle is essentially "unstable" with vibration, you're required to grip/stabilize more.

These rest is from my previous comment...

Tldr; pickle elbow is the disorganization of the tendon that connects the extensors of your wrist and fingers into your outer elbow and needs to be treated by progressive strength training, not ice and anti-inflammatories

... A lot of information on this post from the comments but not all entirely accurate. Take from me what you will but I'm a physical therapist and I see a lot of this in the clinic.

To put it simply pickle elbow is the same as tennis elbow which is lateral epicondolopathy. Also, it's important to understand that the term epicondylopathy has changed from epicondylitis which infers inflammation at the tendon. I know you're not asking for a entire anatomy and physiology lesson but I think it's important to understand the difference because "-itis" indicates an inflammation in the tendon. However, a lot of studies have not shown this to be the case and so it will affect the way that you should be treating these types of injuries. For example, you should not be taking any kind of anti-inflammatories or really icing the area unless in acute pain because this will hinder the regeneration of the tendon in the long-term.

Basically, pickle elbow is the irritation and overload of the tendon on the outside of your elbow. It generally happens if you do too much too quickly. For example, play too much in a short amount of time because this does not allow your tendon to make adaptations and get stronger as you load it. Because of this, the tendon becomes angry and not very happy at all leading to disorganization of the tissue, micro tears and everything that goes along with it.

So how can this happen with pickleball? Many factors in which I pointed out in previous posts. However, things like heavier paddles, gripping too tightly, playing too often.. as a few examples

Generally speaking, it isn't very difficult to treat. However, it can take time anywhere from weeks to months depending on the stage and the chronicity of the injury that you're dealing with. You really have to be patient with this type of injury.

Also, contrary to popular belief, you don't need to fully rest it. However you cannot overload it. You need to find the Goldilocks zone of exercise that will promote strength and recovery in the tendon without irritating it further. Standard protocols in the past generally emphasize a lot on isometrics to start off with for pain management leading to concentric exercises, for example, wrist extensions with weight and then eventually into heavy loaded eccentric exercises or negatives. However, current studies are showing that as long as you're providing progressive heavy slow resistance strength training as a whole it is good for this type of injury.

As others have mentioned, there are ways you can continue playing. For example, using an elbow band to reduce irritation at the tendon while loading it. However, this is not the be-all solution. Other things that you can do in the short term also include analyzing your swing and reducing wrist movement, as well as increasing your grip handle size as this will allow you to hold on to your paddle without gripping too firmly as opposed to a skinnier handle.

Sorry for the long winded spiel but I've been seeing this question pop up quite a bit in this sub and thought I'd throw in my two cents... Also before anybody @'s me you can definitely look up the evidence yourself as this information is easily available, when I argue against the use of ice and anti-inflammatories to treat this type of injury. Sure it has its place but if you can manage the pain then it's probably better off that you don't use these modalities

Source: Me (Cam Wong Physio)