The phrase "ability to memorize" is correct and usable in written English.
You can use it when discussing someone's capacity to retain information or recall facts.
Example: "Her ability to memorize complex formulas has always impressed her teachers."
Alternatives: "capacity for retention" or "skill in memorization."
What is involved is not "memory," the ability to remember things, but "memorization," the ability to memorize things by an act of memorization.
Oculomotor variables on the other hand only correlated significantly with IT during the retrieval phase of the visual memorization task, which is likely a product of differences in participants' ability to memorize objects during the loading phase of the experiment.
It notes Socrates bemoaned that writing would lead to the erosion of people's ability to memorize.
Plato's Phaedrus warns that the invention of writing will destroy people's ability to memorize.
The ability to memorize new information deteriorated for those who had remained awake throughout the day.
Could agility, speed, balance, rhythm and the ability to memorize complex patterns have something to do with it?
Count Clive Thompson as someone who does not believe Google is dulling our ability to memorize things.
The choreographer and my on-ice partner were so patient with my complete lack of ability to memorize choreography.
Bill Clinton may have a zombie's ability to memorize facts, but he's obviously a vampire at heart.
Achievement based on the ability to memorize material, replicate low-level procedures and follow instructions — the narrow skills done perfectly by the machine intelligence that defines our world.
She was about 3 and playing cards with her father when he discovered that she was a mathematical prodigy with an uncanny ability to memorize numbers.
