Players and officials from the Brazilian outfit were among the 71 people to lose their lives when a plane crashed in a mountainous area outside Medellin, Colombia on Monday night.
Football has been in mourning since the tragedy occurred, but Costa has claimed that Chapecoense will return from the depths due to the "support from the whole world".
"We had very important values. Chapecoense was at the top of its trajectory after 43 years of history and unfortunately we lost [that]. But with tranquility and support from the whole world, we will rebuild Chapecoense," Costa told Omnisport.
"The solidarity that everyone showing for Chapecoense football association is very important for us to rebuild. From the next week we will organise ourselves. With members of the board and people of the community, with very good people, we are going to look for clubs. We have the solidarity of the main clubs of Brazil offering us players.
"We are going to look for them as soon as possible to be able to form a football team. All of the clubs of the Serie A in Brazil offered us players. We have some teams from Argentina that are also wanting to talk and help."
"There are teams from Portugal that have also offered their help and also teams from Spain. In this moment of a big pain, clubs are standing in solidarity to help us."
The aircraft was transporting Chapecoense to Colombia ahead of the first leg of the final of the Copa Sudamericana against Medellin side Atletico Nacional on Wednesday night.