I am studying the similarities between Cricket and Baseball.
I understood that every Baseball game consists of a series of innings (7-9 depending on the league) where one team tries to score as much as possible. Similarly in cricket, every game has 2 innings{1} where one team bats and the other bowls/fields.
Now, in Cricket, the team batting second is most often called the "chasing team". The chasing team has to get past the score set by the other team.
According to the Wikipedia article on Baseball,
One team—customarily the visiting team—bats in the top, or first half, of every inning. The other team—customarily the home team—bats in the bottom, or second half, of every inning...
That brings me to my question:
Can I call the team that bats in the "bottom" or "second half" in a Baseball game as a team that "chases"?
Or is there any other term to indicate the team batting second? (barring "home team")
Consider an example sentence,
Very similar to Cricket, the chasing team must try to score as many runs as possible in their innings. The only difference is that baseball players run around in counter-clockwise circles instead of running in straight lines along the pitch.
Native speakers might not appreciate the wording but if I tell this to someone from the Indian subcontinent, they'll understand instantly! Since most of my audience is cricket-loving, I want to make it easier for them to correlate.
{1} - With the exception of Test Cricket where every game can have up to 4 innings, 2 innings a side each