Might there come a day when A’s fans can buy their favorite player’s jersey secure in the knowledge they won’t have to replace it in another year or two? Billy Beane says: yes.

Oakland rarely has signed players to long-term deals and has had poor luck when doing so. In recent years, the A’s have traded many of their best and most popular players as they approached free agency.

With this current crop of youngsters, though, that trend might be on the wane. Vice president of baseball operations Beane suggested a new course when he spoke to reporters Sunday after trading relievers Sean Doolittle and Ryan Madson to the Nationals for right-handed reliever Blake Treinen, minor-league infielder Sheldon Neuse and minor-league left-hander Jesus Luzardo.

“Really, what’s been missing the last 20 years is keeping these players,” Beane said. “The frustration isn’t that we’ve had success; the frustration is that after success, we haven’t kept them. And we need to change that narrative by creating a good team and ultimately committing to keeping them around, so that when people buy a ticket, they’ll know that the team is going to be there for a few years.”

Doolittle and Madson were two of just a handful of players signed beyond this season, both with guaranteed deals through 2018. Doolittle also had team options for 2019 and 2010. However, Madson is 36, and Doolittle has been on the disabled list five times in his five-plus seasons.

“It sort of fits into everything in the direction we’re going,” Beane said of the deal. “First of all, we have to take a look at where we are — we’re in last place. And the direction we’re heading is, we’re going younger. We need to be disciplined with it, particularly with what we’re trying to do in the community as far as a stadium. There’s only one way to open a stadium successfully, and that’s with a good, young team.

“We’ve never really committed to a full rebuild. ... I will say this, and I’ve had a lot of conversations with ownership: There is a real commitment to finding a stadium. That’s not just lip service at this point. You’ve seen it.”

Asked again about his commitment to a rebuild, Beane said, “Absolutely, no doubt about it. The important end of the sentence is rebuilding and keeping them. This is my 20th year on the job. There are only so many cycles that I can go through before I get as exasperated as everybody else.

“Finding players has never been an issue for us. Keeping them and ultimately keeping the faith and commitment from people who follow the team, that’s got to be done by keeping them around. Again, I’ve been assured by ownership that that’s what we’re going to do as it parallels with the stadium.”

Treinen was an A’s minor-leaguer who was dealt to Washington in a three-team deal that brought the A’s John Jaso in 2013. Treinen is a hard thrower but has struggled this season, going 0-2 with three saves and a 5.73 ERA. Opponents are batting .320 against him. Beane suggested that a change of scenery might help Treinen, who worked with A’s pitching coach Scott Emerson and bullpen coach Garvin Alston while in Oakland’s system.

Beane said two teams already have called the A’s about Treinen, 29, but Oakland has no plans to move him.

Neuse, 22, is a second-round pick just a year out of the draft and batted .291 with nine homers and 51 RBIs in 77 games with Class A Hagerstown. Beane said Neuse can play shortstop, second and third and will head to Class A Stockton.

The A’s considered Luzardo, 19, a first-round pick last year, but he dropped after Tommy John surgery. Washington took him in the third round. He is 1-0 with a 1.32 ERA in three starts in rookie ball this year, with no walks and 15 strikeouts in 132/3 innings.

Oakland continues to hold talks with contenders about several other players, with top starter Sonny Gray, second baseman Jed Lowrie and first baseman Yonder Alonso all potential trade targets. Beane said the A’s will be looking for the best young players in return, not necessarily going for major-league-ready prospects but those who might thrive down the line.

“One of our approaches in the past has been to really take some of the risk out of deals by virtue of getting guys maybe who were closer, that maybe you had more information on, and maybe staying away from, say, high-risk, high-reward things,” Beane said. “Our approach now given the commitment we have is try to get the best players, period. And understanding also that this process doesn’t happen overnight and we’re going to have to be patient with it.”

Susan Slusser is a San Francisco Chronicle staff writer. Email: sslusser@sfchronicle.com Twitter: @susanslusser