"If asked, we will look into it if it's in the best interests of baseball," Hall said. "However, we have to balance it against what is in the best interest of our fans."
Different scenarios have been floated in recent days, including having two 15-team leagues rather than the current setup that has 16 teams in the NL and 14 in the AL.
ESPN.com reported that under one scenario, there would be two 15-team leagues with no divisions. If that were the case, the top five teams in each league would qualify for the playoffs.
"I'd still say the odds of it happening are less than 50-50," a source told ESPN.com regarding the whole realignment issue.
If the D-backs were to shift to the AL and the division system were kept in place, they would likely find themselves in the AL West, along with the Mariners, A's, Angels and Rangers.
"I personally am a National League fan -- from the pace of the game and from the strategy that is involved without the designated hitter," Hall said. "However, we would certainly gauge the interest of our fans, our season-ticket holders, to see if this is something that we should look into if asked."
With the current alignment, the D-backs play host to NL West rivals Padres, Giants, Dodgers and Rockies three times a year and other NL teams once.
Interleague Play visits by the Yankees and Red Sox have drawn sellout crowds at Chase Field over the years, and if the D-backs were to shift to the AL, they would likely host those teams at least once a year.
"I think if we polled our fans, it might be a 50-50 result," Hall said. "Half our fans would probably say they would like to see the Yankees and Red Sox each year, while the other half would like to see the Cubs, Dodgers and Giants more frequently."