It is authentically reported of the Prophet, peace and blessings be upon him:

“He forbade raising the eyes towards heaven during prayer and said, ‘People must stop raising their eyes towards heaven during prayer, or their sight will not return to them.’”

As for raising the eyes during supplication outside prayer, scholars differ on this. Raising the eyes during prayer was forbidden only because it conflicts with the humble reverence required in prayer.

Allah Most High says:

“So turn away from them. On the Day the caller calls to something terrible * their eyes humbled.”
[Al-Qamar: 6-7]

And He says:

“The Day they emerge from the graves swiftly, as though racing towards an erected marker * their eyes humbled.”
[Al-Maʿārij: 43-44]

And He says:

“You will see them exposed to it, humbled by disgrace, looking with a furtive glance.”
[Al-Shūrā: 45]

ʿUmar, may Allah be pleased with him, saw a man looking around while praying and said, “Had this man’s heart been humbly reverent, his limbs would have been humbly reverent too.”

Humble reverence in the heart necessarily entails humility and submissiveness in the gaze, which are incompatible with raising it. Scholars differ as to whether this should also be observed during supplication.

Thus, one may find a person who, when addressing someone he holds in great esteem, does not raise