When the 49ers acquired their presumptive franchise quarterback in a trade last month, there were two major complications that contributed to skepticism about the future.

Jimmy Garoppolo came to the 49ers with a resume that consisted of only two starts in four NFL seasons. Moreover, Garoppolo was under contract for only half a season before he would be scheduled for unrestricted free agency.

Nothing has changed since Garoppolo arrived from New England with six suitcases packed with clothes and belongings – other than the 49ers appear to feel more resolute in their belief Garoppolo is not just a rental.

General manager John Lynch, the man who must ultimately decide the team’s decision on how to handle Garoppolo’s contract status, said he does not necessarily need coach Kyle Shanahan to quickly assign Garoppolo the starting role to determine his value to the organization.

“No, I don’t think so,” Lynch said for “49ers Game Plan,” which will air Saturday at 7:30 p.m. on NBC Bay Area (Ch. 3). “We know what we like about Jimmy Garoppolo. And that’s only been strengthened by the time that’s he’s been here. We’re just going to let these things play out. That’s in Kyle’s hands.

“People have had all these ideas about why we got Jimmy. We got Jimmy because we think he has big-time ability at the quarterback position. And we believe so much – to get where we need to get – you have to have a franchise quarterback. We think he’s got that ability. Whether that happens, when that happens, we’ll see. But we certainly like his future with the 49ers.”

The 49ers, currently on their bye week, are coming off their first victory of the season. Rookie quarterback C.J. Beathard played his best game, throwing for 288 yards and two touchdowns in a 31-21 win over the New York Giants.

Garoppolo is spending his bye week in Santa Clara, meeting with coaches, to continue his cramming of the team’s playbook and offensive philosophy.

“The plan is to continue to get him ready,” Lynch said. “It’s a very different system he played under. A great system, but a different system he played under in New England. And Kyle’s system is complex for a quarterback. There’s a lot of verbiage in every play call. There are a lot of adjustments on every play call that the quarterback controls.

“We want to set Jimmy up for success and also the way C.J.’s playing is helping us sit back. And now we have a bye week. They’re going to work hard during this week to get him up to speed. But right now, we don’t need him. C.J. just played a great game and his teammates really believe in him. We think it’s nothing but a good situation.”