No. They don't even mention her in person or in a story arc. The Fires of Pompeii is just a regular episode of Doctor Who.
She isn't in it but she is sort of mentioned when Lucius Petrus Dextrus tells the Doctor "she is returning" meaning Rose coming back from the parallel world.
When the Doctor is contacting the Sontarans and it comes up on the Tardis screen rose flashes up on the Tardis screen and then it flashes to the Doctors face
September 12, 1959 last regular episode December 26, 1972
The Rose
Lauren Stamile
Episode: The Pandorica OpensBecause Rory shot her and he couldn't control his Auton form.However she is brought back to life by the Doctor's cunning plan.Episode: The Angels Take ManhattanAmy is touched by a Weeping Angel near the end of the episode and sent back to the past to die naturally of old age with Rory. The Doctor couldn't rescue her because she was time-locked. She will not return.
She first appears in the episode entitled "Rose" which is the first episode of the new series, episode 1.1.
There aren't any episodes where Rose is in a coma ???
in the episode the end of the world
Yes, Rose returns from the parallel world at the end of episode 12, at the end of episode 13 The Doctor returns her and clone Doctor to her world to live their lives together.
new earth
Journey's End (series 4 episode 13). - Edit: Episode 14 is Journey's end.
Yes, Rose Tyler returns for a brief cameo in the 2011 Doctor Who episode "The Wedding of River Song," reuniting with the Tenth Doctor.
i don't think she is :/ or maybe I'm wrong :)
The Empty Child and The Doctor Dances
New Earth (series 2 episode 1).
she appears in the episode Partners in crime and then comes back later in Turn left
No, she has left for good.