depends if its chronic or not, if its chronic ur basically stuck with it unless u get prolotherapy, plasma injects or another form of treatment
my tendonitis is chronic, got it from training tricep to heavy with super strict form on things like hammer and overhead extensions (things that really stretch the elbow out)
best way i found to work around it (since i have pretty bad tendinitis in my right elbow)
AAKG 20-30mins before ya triceps workout, big dose like 20 grams, warm up with 1-2 light sets to get blood through the tendon, then first set do a heavy but high repetition set (15 reps)
basically after that progressively go heavier, with lower reps until it becomes to uncomfortable or painful for ur tendon
this is mainly done to get blood flow through the tendon, since tendinitis is usually caused by a restriction of blood flow to get through the tendon fast enough, so AAKG really helps alot
another thing is dont do tricep isolation exercises that cause ya to lockout ur elbow or heavily stretch it out
the other factor is to bring your shoulders into wen trainign ur triceps, e.g skullcrushers, dont completely lock ur elbows, allow a slight bend and bring the bar further over ur forehead rather then ya nose to allow your shoulders to eb brought into the movement and ensures your triceps dont overstretch and place pressure on ya tendon
theres a few other things, basically learn how to work around it, dont do exercises that cause pain and aggravate it more, itll jus make it permanently alot worse