The phrase "make inroads for" is correct and can be used in written English.
It means to make progress or gain influence in a certain area or situation. Example: The company's new marketing strategy has helped them make inroads for their products in the international market.
Biggar converted and added a penalty from distance after 13 minutes, but as the half wore on Tuilagi started to make inroads for the Tigers and with winger Vereniki Goneva popping up all over the field Leicester began to look dangerous.
Facebook has failed to make inroads for years, kept from 668 million new users by China's monolithic censorship and restrictions on internet freedom.
If countries like Pakistan continue to persecute minority communities such as Shia Muslims, Ahmadi Muslims and Christians, they will continue to make inroads for groups like ISIS.
Student lending reform could have passed the Senate long ago, but because it had to wait on health care, the lobbyists have had plenty of time to chip away at the Senate and make inroads for their "compromise," which would carve out billions to preserve their role as expensive and unnecessary middlemen.
Hostelworld works well for hostels, and Airbnb is also making inroads for apartment rentals.
Centre Scott Williams and wing Andy Fenby made inroads for the Scarlets while for Treviso the back-row trio of Vosawai, Alessandro Zanni and Barbieri proved to be a real handful, with scrum-half Edoardo Gori profiting from their endeavour.
Medicine has already made inroads, for example, as in the intensive recovery programs for stroke victims that teach their brains to use new, undamaged areas.
Nevertheless, commercial 3D printers continue to improve their processes and make inroads into markets for final products, and researchers continue to experiment with 3D printing, producing objects as disparate as automobile bodies, concrete blocks, and edible food products.
Steroid hormones clearly play a large role in breast cancer etiology, and identification of risk associated with genetic differences in their biosynthesis and metabolism could greatly elucidate mechanistic pathways and make inroads towards prevention for public health.
The Democrats see an opportunity to blame the White House if the farm lobby is unhappy and possibly make inroads in the races for the House.
And after a faltering start, the Asians, particularly Nissan and Toyota, are beginning to make inroads into the market for light trucks and SUVs, and have a load of new products ready for launch.
