Does the time difference between Lagos and New York change during the year?

Yes. Because of daylight saving time the gap moves between +5h and +6h.

When is the best time to call New York from Lagos?

Between 14:00 and 17:00 in Lagos, which is 09:00 to 12:00 in New York.

Lagos is 5h ahead of New York. This gap is not fixed: daylight saving time moves it between +5h and +6h during the year.

Lagos

Nigeria

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New York

United States

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A 9-to-5 day in each city overlaps for 3h. That is 14:00–17:00 in Lagos, which is 09:00–12:00 in New York.

City	Time zone	UTC offset
Lagos · Nigeria	Africa/Lagos	UTC+1
New York · United States	America/New_York	UTC−4

What is the time difference between Lagos and New York?: Lagos is 5h ahead of New York. This gap is not fixed: daylight saving time moves it between +5h and +6h during the year.
Does the time difference between Lagos and New York change during the year?: Yes. Because of daylight saving time the gap moves between +5h and +6h.
When is the best time to call New York from Lagos?: Between 14:00 and 17:00 in Lagos, which is 09:00 to 12:00 in New York.