Africans and African Americans/Black Americans have deep connections. During slavery, many African cultural attributes among enslaved Africans in the Americas were retained but some were also lost (in-part) such as (language and religion).
Africans, on the other had endured colonialism (slavery by another name) which presented a new dimension of issues. Due to slavery and colonialism, the connections between Africans and African American/Black Americans have been strained. Much of the tension is based on conflicting and stereotypical media portrayals that have been cross promoted by Eurocentric Western ideals spread among the two groups.
For the most part, many members of both groups would consider themselves Black (based on color) but at times descendants of enslaved Africans in the Americas, do not view themselves as African. However, there are many African Americans that embrace their African heritage and make trips to Africa to learn more about their ancestors.
There are instances when Africans do not view African Americans or Black Americans as Africans due to differences in cultural backgrounds. This is not always the case. Often times Africans bond with African Americans. In many instances both groups are essentially linked and do have cultural, economical and ethnic similarities that will forever bond them. In fact, many Africans and African Americans work together towards fighting racism and the oppression that plagues Black/ African descendants around the world. This collective activism is often referred to as Pan Africanism.