To draw out latent possibilities or opportunities is to:

To draw out latent possibilities or opportunities refers to the process of uncovering or bringing forth potential that may not be readily visible or recognized. The term that best fits this definition is "elicit." This word conveys the action of invoking or revealing something that is hidden or not immediately apparent. In contexts like coaching or mentoring, eliciting can involve asking questions or creating an environment that encourages individuals to express their thoughts or explore their capabilities further.

The other options do not align with the intended meaning. Integrating typically involves combining different elements into a whole, which does not specifically relate to bringing out opportunities that are currently latent. Withholding implies keeping something back or not allowing it to be expressed, which is the opposite of drawing out potential. Stifling suggests suppressing or preventing growth and development, which also contradicts the objective of uncovering latent possibilities. Thus, "elicit" is the most appropriate choice in terms of drawing out hidden potential or opportunities.