The Shanghai composite advanced 1.8 percent to close at 2,994.00, while the Shenzhen component rose 1.503 percent to finish its trading week at 9,167.65. The Shenzhen composite also added 1.197 percent on the day to close at 1,564.84.
Hong Kong's Hang Seng index edged up 0.45 percent in its final hour of trading.
A private survey on China's manufacturing sector showed Friday that factory activity shrank for a third straight month in February. The Caixin/Markit Manufacturing Purchasing Managers' Index (PMI) came in 49.9 for February.
Meanwhile, global index provider MSCI said on Friday that it will quadruple the weighting of Chinese mainland shares in its global benchmarks later this year from 5 percent to 20 percent, potentially drawing more than $80 billion of fresh foreign inflows to the world's second-biggest economy.
"Many global investors will view China's onshore stock market as a bit of a basket case, regardless of whatever MSCI (does)," Nicholas Yeo, head of China equities at Aberdeen Standard Investments, said in a note. "This is an inefficient market, after all, where 80% of turnover emanates from local retail investors more easily swayed by the latest headlines than the earnings prospects of A-share companies."
"We believe there are compelling reasons for international investors to view this market more favourably, particularly over the longer run," Yeo said, "Within five years, it has been estimated A-shares could make up as much as 20% of this widely followed index. That would draw in capital from foreign institutional funds tracking it passively."
Elsewhere in Asia, the Nikkei 225 in Japan rose 1.02 percent to close at 21,602.69 and the Topix added 0.5 percent to finish its trading day at 1,615.72, with shares of conglomerate Softbank Group gaining 1.41 percent.
In Australia, the ASX 200 advanced 0.38 percent to close at 6,192.70, with most sectors seeing gains.