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I've googled variations of the below and got '10 horror movies' etc.
Any help is appreciated.
Insidekick by J. F. Bone https://www.isfdb.org/cgi-bin/title.cgi?41279
The man is about to be executed or is wanted by the police
Satisfied that it was empty except for Fred Kemmer and himself, he sidled up to the Earthman’s desk and hissed conspiratorially in his ear, “Sir, this Johnson is a spy! Is it permitted to slay him?” “It is permitted,” Kemmer said in a tone suitable to the gravity of the occasion.
He's infected by a parasite/symbiant
CURIOUSLY, the Zark sent out a pseudopod of its substance through the open mouth of its disguise. The faintly glittering thread oozed downward and struck Albert’s head beside his right eye. Without pausing, the thread sank through skin and connective tissue, circled the eyeball and located the optic nerve. It raced inward along the nerve trunk, split at the optic chiasma, and entered the corpora quadrigemina where it branched into innumerable microscopic filaments that followed the main neural paths of the man’s brain, probing the major areas of thought and reflex.
The Zark quivered with pleasure. The creature was beautifully complex, and, more important, untenanted. He would make an interesting host.
The parasite notes that it's nice to see in colors.
Color was something new to the Zark. Its previous hosts had been color blind, and the symbiont wallowed in an orgy of bright sensation.
The man escapes from pursuers by teleporting
He suddenly felt alone and helpless, wishing desperately for a quiet place where he could dress his wound and be safe from the eyes he knew were inspecting him. He was too conspicuous. The pajamas were out of place on the street. Undoubtedly natives were hurrying to report him to the IC.
His mind turned to his room in the hostel with its well-fitted wardrobe and its first-aid kit — and again came that instant of utter darkness — and then he was standing in the middle of his room facing the wardrobe that held his clothing.
HE felt no surprise this time. He knew what had happened. Something within his body was acting like a tiny Distorter, transporting him through hyperspace in the same manner that a starship’s engine room warped it through the folds of the normal space-time continuum. There was nothing really strange about it It was a power which he should have — which any normal man should have. The fact that he didn’t have it before was of no consequence, and the fact that other men didn’t have it now merely made them abnormal.
The story can be found in the Internet Archive
