In the philosophy of personal identity, teleportation is an intellectual contrivance only intended to help clarify thinking about personal identity. Another version of the same concept is the 'Swampman' thought experiment [1], which is also obviously not intended to be taken seriously as a scientific possibility. Most thought experiments in the philosophy of mind and personal identity have this character, e.g. Mary's Room [2], the China Brain [3], Philosophical Zombies [4], the Chinese Room [5] etc.
Thought experiments are often not intended to be carried out empirically (Schrodinger did not poison cats, Maxwell could not summon demons, Einstein did not throw people off buildings or construct clocks made of light, and so on), but they are nevertheless useful tools that can lead to insights about the real world, or serve as inspiration for actual experiments (Bell tests [6] are perhaps a good example of this, as they derive directly from Ian Bell's careful consideration of a famous thought experiment of Einstein, Podolsky and Rosen [7]).
Quantum teleportation is also of course a real phenomenon [8], and it does have some of the same properties as the imaginary teleportation device that Parfit and other philosophers consider in their work, albeit that it has only been demonstrated at the atomic scale for now.
[1] https://en.wikipedia.org/wiki/Swampman
[2] https://en.wikipedia.org/wiki/Knowledge_argument
[3] https://en.wikipedia.org/wiki/China_brain
[4] https://en.wikipedia.org/wiki/Philosophical_zombie
[5] https://en.wikipedia.org/wiki/Chinese_room
[6] https://en.wikipedia.org/wiki/Bell_test
[7] https://en.wikipedia.org/wiki/Einstein_Podolsky_Rosen_Parado...
[8] https://en.wikipedia.org/wiki/Quantum_teleportation