An iconic Texas restaurant chain will not allow the open carrying of guns on its properties, and industry experts say other restaurants will likely take the same stand against a new state law legalizing the practice in many public places.

Whataburger — with some 780 locations in 10 states — has drawn a mix of praise and rebuke since making the announcement this month, including a prediction of boycotts from one of the state's leading advocates for gun rights.

In an open letter on the company's website, Whataburger president and CEO Preston Atkinson said many employees and customers are "uncomfortable being around someone with a visible firearm." He described himself as an avid hunter with a concealed-carry license and noted that patrons licensed to carry concealed handguns will still be able to do so in Whataburger.

Atkinson's letter comes one month after Texas Gov. Greg Abbott signed a bill that made it legal to carry handguns openly on the streets of the nation's second most-populous state, ending a prohibition dating back to the post-Civil War era that disarmed former Confederate soldiers and freed slaves.

Restaurant chain Whataburger has announced that it will not allow the open carrying of guns on its properties. Eric Gay / AP

The law, which gives private property owners the right to prohibit open carry, was hailed as a victory for gun rights advocates who have staged high-profile rallies at the Alamo and Texas Capitol over the past couple of years. Some even brought military-style assault rifles into businesses as part of their demonstrations, prompting the Chipotle restaurant chain to discourage firearms on their premises.

Whataburger's decision is expected to pave the way for other restaurants to enact similar policies that will further limit where gun owners can openly carry their firearms when the law takes effect in January. Texas Restaurant Association CEO Richie Jackson said he wasn't surprised by Whataburger's advance announcement, noting that "gun rights do not trump property rights" under the new law. "It can't be kept a secret," he said. "Given the number of units that they have in Texas, they just wanted to make it very clear as to where they were going to be, and I would expect to see a number of restaurants follow."

But Open Carry Texas founder C.J. Grisham said Whataburger's policy was "premature and irresponsible," and that the restaurant caved to "fear mongering." "I think most gun owners that know this policy are simply not going to go to Whataburger, like me," he said.