The 21-year-old midfielder left Madrid for Stuttgart before moving to Brighton, where he has already scored against Arsenal after arriving in England.
Andres has long been compared with Rodri because of his position and tactical understanding, but the former Madrid academy player is keen to establish his own identity.
“I like that they compare me with him, it flatters me and fills me with pride, but I feel like it's always the same,” Andres told Marca.
“I also want to form my own path and my own career with my name, to be Chema Andres and not someone else.”
Asked whether he could eventually become the type of midfielder Madrid need, Andres did not rule it out.
“It could be, why not? But right now I've just arrived at Brighton and I'm very happy here,” he said. “I don't think beyond this, the Under-21s and returning there.”
Andres has also deliberately distanced himself from the attention surrounding his performances. He said his brother runs his Instagram account and that he stopped looking at social media last year to avoid being affected by outside opinion.
On his football, Andres believes his composure and understanding of the game are among his main strengths.
“I'm not a very fast player, so I have to pay more attention to situations and try to anticipate what is going to happen to be there,” he said.
The midfielder also rejected the suggestion that Madrid's midfield currently lacks options, pointing to Aurélien Tchouaméni, Eduardo Camavinga and Federico Valverde.
He remains grateful for his time at La Fábrica, however, and believes the number of academy graduates reaching the elite reflects the strength of Madrid's youth system.
Andres is now focused on establishing himself at Brighton, but has left the door open to a return to the club where his career began.