In his remarks, the president praised the team's style of winning - beating opposing teams into submission until "they quit" - and drew a comparison to what's been happening lately at the White House.
Earlier this year, the Golden State Warriors chose to pass on their invitation, opting to visit the National Museum of African American History and Culture to celebrate their 2017 NBA Finals win.
That won't be the case for Alabama.
"Coach Saban addressed it and just said, 'Hey, we're doing this regardless of your political thoughts, '" Pierschbacher said (via AL.com).
It's not all celebrations and partying for Nick Saban's team today, though. "That was basically the extent of that".
Today, a scheduled off day from spring practice, will be the Alabama football team's fifth visit to the White House this decade (2010, 2012, 2013, 2016, 2018), but first since Trump took over for Barack Obama previous year.
In the past, some Alabama players have voiced their displeasure with President Trump, questioning his policies over social media.
That includes rehabbing on the White House floor with Alabama trainer Jeff Allen.
At one point, Trump singled out Crimson Tide quarterback Tua Tagovailoa, who was born and raised in Hawaii and graduated from Saint Louis School.
"It's an incredible honor for us to be invited to the White House", added running back Damien Harris before the visit. "This group of young men will also learn a lot of lessons that will help them be more successful in life because of the experiences they had together this year as a team". "Obviously all the older guys have been there, and we're looking forward to going back again".
Not all of Alabama's players will make the trip.
"This would be my first time, but I actually won't be going because I've got a grandma's funeral that I'll be going to tomorrow", Lewis said. However, the Washington D.C. native said he wishes he was able to join the rest of his teammates.
Trump mentioned a number of Alabama players by name, including starting quarterback Jalen Hurts, who the president said "displayed unbelievable poise and leadership". "It's definitely an honor".
Tua is spending part of his time at the White House trying to do that.
"It's a big honor", Pierschbacher said.
Trump had attended the game in Atlanta in January, appearing on the field for the playing of the national anthem and the presentation of the American flag. It's a tradition that comes with winning a championship in any major sport.