The word intriguement is not a dictionary or a standard word. It can be considered a neologism or a nonce word modelled on established words like excitement, astonishment, amazement and that has been used by some people for the intended meaning, as the noun intrigue doesn't have the sense "the condition or feeling of being intrigued".
For example, intrigueness is another neologized word you can find in Google Books. Although, it is better to use established words for the intended meaning; perhaps fascination fits the bill.
OED definition of fascination:
The state of being enthralled or intrigued by, or extremely interested in, something or someone.
Now the usual sense.