"Sam Bradford is the No. 1, Chase Daniel is the No. 2, and we're working on the No. 3," Pederson said. "I just want to put that out there right now."
Pederson said he wanted competition at every position, including quarterback. But the plan is for Bradford to be the starter when the season opens in September.
"Iron sharpens iron at every position," Pederson said. "I feel like the quarterback position is not exempt from that. You have to create opportunities for your guys to compete against one another in OTAs, training camp, regular season. You're going to put the best 11 on the field."
Bradford started 14 games for the Eagles last season after being acquired in a trade last March. He signed a new two-year contract worth $36 million earlier this month.
On Thursday, the Eagles signed Daniel to a three-year contract worth $21 million. Daniel, 29, had been the Kansas City Chiefs' backup for the past three years. Pederson was the Chiefs' offensive coordinator.
"I signed to help the Philadelphia Eagles win the Super Bowl," Daniel said. "That is first and foremost the goal."
Daniel said his knowledge of Pederson's offense would allow him to help Bradford and other teammates get up to speed.
"I would not be in the NFL if I didn't think I could be a starting quarterback in this league," Daniel said. "I look forward to competing here. Not only are the quarterbacks going to be competing, the entire team is going to be competing."
During his stint as a backup in New Orleans, Daniel said, he would frequently tell Drew Brees, "I'm coming for your job."
Daniel's contract includes escalators that could increase the value to $36 million. That fueled speculation that the Eagles would consider trading Bradford and going with Daniel as their starter.
"We've always had them in our backup quarterback contracts," executive vice president of football operations Howie Roseman said. "Go back to Jeff Garcia, go back to Mark Sanchez. Every backup quarterback has upside incentives. That's nothing new."
Roseman said the Eagles had not discussed the possibility of trading Bradford.