The Brazilian centre-half has been linked with Manchester United and Barcelona in the current transfer window, with both clubs known to be keen to bolster their defensive options.
However, it appears that the 29-year-old, who made 32 league appearances as Atletico clinched their first Liga crown since 1996 last season, will remain at Vicente Calderon.
"Don't worry, I'm staying," he was quoted as saying by Marca, despite previously claiming to have received offers from Premier League and La Liga sides.
However, while Miranda appears to be content to remain with Atletico, Filipe Luis, who has been linked with a move to Chelsea as long-term replacement for new Roma signing Ashley Cole, was less certain on his own future.
"We'll see what happens," the 28-year-old said when asked if he was likely to leave.
Atletico enjoyed a hugely successful campaign last term, ending the season as La Liga champions as well as beaten Champions League finalists following a 4-1 defeat to Real Madrid in Lisbon.